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Finding the Fourth Proportional to 464.60, 639.24 and 402.24

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Solution

The fourth proportional to 464.60, 639.24 and 402.24 is: 553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.60 : 639.24 = 402.24 : x
  2. Step 2: Convert to fraction form
    464.60/639.24 = 402.24/x
  3. Step 3: Cross multiply
    464.60x = 639.24 × 402.24
  4. Step 4: Simplify right side
    464.60x = 257,127.90
  5. Step 5: Solve for x
    x = 257,127.90/464.60
  6. Step 6: Final answer
    x = 553.44

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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.