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Finding the Fourth Proportional to 506.72, 763.02 and 429.95

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Solution

The fourth proportional to 506.72, 763.02 and 429.95 is: 647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.72 : 763.02 = 429.95 : x
  2. Step 2: Convert to fraction form
    506.72/763.02 = 429.95/x
  3. Step 3: Cross multiply
    506.72x = 763.02 × 429.95
  4. Step 4: Simplify right side
    506.72x = 328,056.63
  5. Step 5: Solve for x
    x = 328,056.63/506.72
  6. Step 6: Final answer
    x = 647.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.