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Finding the Fourth Proportional to 498.83, 748.61 and 468.57

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Solution

The fourth proportional to 498.83, 748.61 and 468.57 is: 703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.83 : 748.61 = 468.57 : x
  2. Step 2: Convert to fraction form
    498.83/748.61 = 468.57/x
  3. Step 3: Cross multiply
    498.83x = 748.61 × 468.57
  4. Step 4: Simplify right side
    498.83x = 350,773.84
  5. Step 5: Solve for x
    x = 350,773.84/498.83
  6. Step 6: Final answer
    x = 703.20

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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.