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Finding the Fourth Proportional to 915.98, 1,263.95 and 517.59

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Solution

The fourth proportional to 915.98, 1,263.95 and 517.59 is: 714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.98 : 1,263.95 = 517.59 : x
  2. Step 2: Convert to fraction form
    915.98/1,263.95 = 517.59/x
  3. Step 3: Cross multiply
    915.98x = 1,263.95 × 517.59
  4. Step 4: Simplify right side
    915.98x = 654,208.45
  5. Step 5: Solve for x
    x = 654,208.45/915.98
  6. Step 6: Final answer
    x = 714.22

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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.