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Finding the Fourth Proportional to 746.93, 1,118.86 and 437.85

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Solution

The fourth proportional to 746.93, 1,118.86 and 437.85 is: 655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.93 : 1,118.86 = 437.85 : x
  2. Step 2: Convert to fraction form
    746.93/1,118.86 = 437.85/x
  3. Step 3: Cross multiply
    746.93x = 1,118.86 × 437.85
  4. Step 4: Simplify right side
    746.93x = 489,892.85
  5. Step 5: Solve for x
    x = 489,892.85/746.93
  6. Step 6: Final answer
    x = 655.88

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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.