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Finding the Fourth Proportional to 602.64, 832.01 and 462.49

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Solution

The fourth proportional to 602.64, 832.01 and 462.49 is: 638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.64 : 832.01 = 462.49 : x
  2. Step 2: Convert to fraction form
    602.64/832.01 = 462.49/x
  3. Step 3: Cross multiply
    602.64x = 832.01 × 462.49
  4. Step 4: Simplify right side
    602.64x = 384,795.38
  5. Step 5: Solve for x
    x = 384,795.38/602.64
  6. Step 6: Final answer
    x = 638.52

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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.