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Finding the Fourth Proportional to 602.32, 831.03 and 381.19

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Solution

The fourth proportional to 602.32, 831.03 and 381.19 is: 525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.32 : 831.03 = 381.19 : x
  2. Step 2: Convert to fraction form
    602.32/831.03 = 381.19/x
  3. Step 3: Cross multiply
    602.32x = 831.03 × 381.19
  4. Step 4: Simplify right side
    602.32x = 316,780.33
  5. Step 5: Solve for x
    x = 316,780.33/602.32
  6. Step 6: Final answer
    x = 525.93

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Half scale
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Double scale
Find fourth proportional to 603.32, 832.41 and 382.19
Similar ratio
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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.