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Finding the Fourth Proportional to 748.72, 1,120.62 and 505.16

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Solution

The fourth proportional to 748.72, 1,120.62 and 505.16 is: 756.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.72 : 1,120.62 = 505.16 : x
  2. Step 2: Convert to fraction form
    748.72/1,120.62 = 505.16/x
  3. Step 3: Cross multiply
    748.72x = 1,120.62 × 505.16
  4. Step 4: Simplify right side
    748.72x = 566,092.40
  5. Step 5: Solve for x
    x = 566,092.40/748.72
  6. Step 6: Final answer
    x = 756.08

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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.