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Finding the Fourth Proportional to 602.67, 831.42 and 462.54

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Solution

The fourth proportional to 602.67, 831.42 and 462.54 is: 638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.67 : 831.42 = 462.54 : x
  2. Step 2: Convert to fraction form
    602.67/831.42 = 462.54/x
  3. Step 3: Cross multiply
    602.67x = 831.42 × 462.54
  4. Step 4: Simplify right side
    602.67x = 384,565.01
  5. Step 5: Solve for x
    x = 384,565.01/602.67
  6. Step 6: Final answer
    x = 638.10

Related Problems

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Half scale
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Double scale
Find fourth proportional to 603.67, 832.80 and 463.54
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.