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Finding the Fourth Proportional to 750.12, 1,125.33 and 557.64

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Solution

The fourth proportional to 750.12, 1,125.33 and 557.64 is: 836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.12 : 1,125.33 = 557.64 : x
  2. Step 2: Convert to fraction form
    750.12/1,125.33 = 557.64/x
  3. Step 3: Cross multiply
    750.12x = 1,125.33 × 557.64
  4. Step 4: Simplify right side
    750.12x = 627,529.02
  5. Step 5: Solve for x
    x = 627,529.02/750.12
  6. Step 6: Final answer
    x = 836.57

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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.