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Finding the Fourth Proportional to 745.32, 1,116.84 and 500.94

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Solution

The fourth proportional to 745.32, 1,116.84 and 500.94 is: 750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.32 : 1,116.84 = 500.94 : x
  2. Step 2: Convert to fraction form
    745.32/1,116.84 = 500.94/x
  3. Step 3: Cross multiply
    745.32x = 1,116.84 × 500.94
  4. Step 4: Simplify right side
    745.32x = 559,469.83
  5. Step 5: Solve for x
    x = 559,469.83/745.32
  6. Step 6: Final answer
    x = 750.64

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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.