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Finding the Fourth Proportional to 602.16, 829.96 and 477.24

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Solution

The fourth proportional to 602.16, 829.96 and 477.24 is: 657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.16 : 829.96 = 477.24 : x
  2. Step 2: Convert to fraction form
    602.16/829.96 = 477.24/x
  3. Step 3: Cross multiply
    602.16x = 829.96 × 477.24
  4. Step 4: Simplify right side
    602.16x = 396,090.11
  5. Step 5: Solve for x
    x = 396,090.11/602.16
  6. Step 6: Final answer
    x = 657.78

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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.