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Finding the Fourth Proportional to 602.66, 831.42 and 462.53

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Solution

The fourth proportional to 602.66, 831.42 and 462.53 is: 638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.66 : 831.42 = 462.53 : x
  2. Step 2: Convert to fraction form
    602.66/831.42 = 462.53/x
  3. Step 3: Cross multiply
    602.66x = 831.42 × 462.53
  4. Step 4: Simplify right side
    602.66x = 384,558.77
  5. Step 5: Solve for x
    x = 384,558.77/602.66
  6. Step 6: Final answer
    x = 638.10

Related Problems

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Half scale
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Double scale
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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.