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Finding the Fourth Proportional to 642.36, 885.88 and 517.98

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Solution

The fourth proportional to 642.36, 885.88 and 517.98 is: 714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.36 : 885.88 = 517.98 : x
  2. Step 2: Convert to fraction form
    642.36/885.88 = 517.98/x
  3. Step 3: Cross multiply
    642.36x = 885.88 × 517.98
  4. Step 4: Simplify right side
    642.36x = 458,868.12
  5. Step 5: Solve for x
    x = 458,868.12/642.36
  6. Step 6: Final answer
    x = 714.35

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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.