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Finding the Fourth Proportional to 750.87, 1,125.16 and 476.13

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Solution

The fourth proportional to 750.87, 1,125.16 and 476.13 is: 713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.87 : 1,125.16 = 476.13 : x
  2. Step 2: Convert to fraction form
    750.87/1,125.16 = 476.13/x
  3. Step 3: Cross multiply
    750.87x = 1,125.16 × 476.13
  4. Step 4: Simplify right side
    750.87x = 535,720.05
  5. Step 5: Solve for x
    x = 535,720.05/750.87
  6. Step 6: Final answer
    x = 713.47

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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.