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Finding the Fourth Proportional to 744.94, 1,115.28 and 500.98

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Solution

The fourth proportional to 744.94, 1,115.28 and 500.98 is: 750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.94 : 1,115.28 = 500.98 : x
  2. Step 2: Convert to fraction form
    744.94/1,115.28 = 500.98/x
  3. Step 3: Cross multiply
    744.94x = 1,115.28 × 500.98
  4. Step 4: Simplify right side
    744.94x = 558,732.97
  5. Step 5: Solve for x
    x = 558,732.97/744.94
  6. Step 6: Final answer
    x = 750.04

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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.