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Finding the Fourth Proportional to 840.29, 1,263.15 and 517.70

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Solution

The fourth proportional to 840.29, 1,263.15 and 517.70 is: 778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.29 : 1,263.15 = 517.70 : x
  2. Step 2: Convert to fraction form
    840.29/1,263.15 = 517.70/x
  3. Step 3: Cross multiply
    840.29x = 1,263.15 × 517.70
  4. Step 4: Simplify right side
    840.29x = 653,926.44
  5. Step 5: Solve for x
    x = 653,926.44/840.29
  6. Step 6: Final answer
    x = 778.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.