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Finding the Fourth Proportional to 753.55, 1,037.72 and 613.22

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Solution

The fourth proportional to 753.55, 1,037.72 and 613.22 is: 844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.55 : 1,037.72 = 613.22 : x
  2. Step 2: Convert to fraction form
    753.55/1,037.72 = 613.22/x
  3. Step 3: Cross multiply
    753.55x = 1,037.72 × 613.22
  4. Step 4: Simplify right side
    753.55x = 636,345.47
  5. Step 5: Solve for x
    x = 636,345.47/753.55
  6. Step 6: Final answer
    x = 844.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.