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Finding the Fourth Proportional to 429.32, 639.55 and 402.76

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Solution

The fourth proportional to 429.32, 639.55 and 402.76 is: 599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.32 : 639.55 = 402.76 : x
  2. Step 2: Convert to fraction form
    429.32/639.55 = 402.76/x
  3. Step 3: Cross multiply
    429.32x = 639.55 × 402.76
  4. Step 4: Simplify right side
    429.32x = 257,585.16
  5. Step 5: Solve for x
    x = 257,585.16/429.32
  6. Step 6: Final answer
    x = 599.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.