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Finding the Fourth Proportional to 743.62, 1,113.80 and 499

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Solution

The fourth proportional to 743.62, 1,113.80 and 499 is: 747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.62 : 1,113.80 = 499 : x
  2. Step 2: Convert to fraction form
    743.62/1,113.80 = 499/x
  3. Step 3: Cross multiply
    743.62x = 1,113.80 × 499
  4. Step 4: Simplify right side
    743.62x = 555,786.20
  5. Step 5: Solve for x
    x = 555,786.20/743.62
  6. Step 6: Final answer
    x = 747.41

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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.