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Finding the Fourth Proportional to 716.83, 1,073.43 and 656.69

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Solution

The fourth proportional to 716.83, 1,073.43 and 656.69 is: 983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.83 : 1,073.43 = 656.69 : x
  2. Step 2: Convert to fraction form
    716.83/1,073.43 = 656.69/x
  3. Step 3: Cross multiply
    716.83x = 1,073.43 × 656.69
  4. Step 4: Simplify right side
    716.83x = 704,909.57
  5. Step 5: Solve for x
    x = 704,909.57/716.83
  6. Step 6: Final answer
    x = 983.37

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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.