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Finding the Fourth Proportional to 748.64, 1,123.16 and 517.64

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Solution

The fourth proportional to 748.64, 1,123.16 and 517.64 is: 776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.64 : 1,123.16 = 517.64 : x
  2. Step 2: Convert to fraction form
    748.64/1,123.16 = 517.64/x
  3. Step 3: Cross multiply
    748.64x = 1,123.16 × 517.64
  4. Step 4: Simplify right side
    748.64x = 581,384.34
  5. Step 5: Solve for x
    x = 581,384.34/748.64
  6. Step 6: Final answer
    x = 776.58

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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.