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Finding the Fourth Proportional to 716.29, 1,073.89 and 510.82

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Solution

The fourth proportional to 716.29, 1,073.89 and 510.82 is: 765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.29 : 1,073.89 = 510.82 : x
  2. Step 2: Convert to fraction form
    716.29/1,073.89 = 510.82/x
  3. Step 3: Cross multiply
    716.29x = 1,073.89 × 510.82
  4. Step 4: Simplify right side
    716.29x = 548,564.49
  5. Step 5: Solve for x
    x = 548,564.49/716.29
  6. Step 6: Final answer
    x = 765.84

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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.