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Finding the Fourth Proportional to 716.64, 1,070.13 and 613.80

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Solution

The fourth proportional to 716.64, 1,070.13 and 613.80 is: 916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.64 : 1,070.13 = 613.80 : x
  2. Step 2: Convert to fraction form
    716.64/1,070.13 = 613.80/x
  3. Step 3: Cross multiply
    716.64x = 1,070.13 × 613.80
  4. Step 4: Simplify right side
    716.64x = 656,845.79
  5. Step 5: Solve for x
    x = 656,845.79/716.64
  6. Step 6: Final answer
    x = 916.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.