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Finding the Fourth Proportional to 642.10, 885.54 and 517.72

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Solution

The fourth proportional to 642.10, 885.54 and 517.72 is: 714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.10 : 885.54 = 517.72 : x
  2. Step 2: Convert to fraction form
    642.10/885.54 = 517.72/x
  3. Step 3: Cross multiply
    642.10x = 885.54 × 517.72
  4. Step 4: Simplify right side
    642.10x = 458,461.77
  5. Step 5: Solve for x
    x = 458,461.77/642.10
  6. Step 6: Final answer
    x = 714.00

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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.