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Finding the Fourth Proportional to 602.76, 831.56 and 381.32

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Solution

The fourth proportional to 602.76, 831.56 and 381.32 is: 526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.76 : 831.56 = 381.32 : x
  2. Step 2: Convert to fraction form
    602.76/831.56 = 381.32/x
  3. Step 3: Cross multiply
    602.76x = 831.56 × 381.32
  4. Step 4: Simplify right side
    602.76x = 317,084.39
  5. Step 5: Solve for x
    x = 317,084.39/602.76
  6. Step 6: Final answer
    x = 526.05

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Find fourth proportional to 301.38, 415.78 and 190.66
Half scale
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Double scale
Find fourth proportional to 603.76, 832.93 and 382.32
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.