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Finding the Fourth Proportional to 716.52, 1,073.40 and 561.72

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Solution

The fourth proportional to 716.52, 1,073.40 and 561.72 is: 841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.52 : 1,073.40 = 561.72 : x
  2. Step 2: Convert to fraction form
    716.52/1,073.40 = 561.72/x
  3. Step 3: Cross multiply
    716.52x = 1,073.40 × 561.72
  4. Step 4: Simplify right side
    716.52x = 602,950.25
  5. Step 5: Solve for x
    x = 602,950.25/716.52
  6. Step 6: Final answer
    x = 841.50

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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.