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Finding the Fourth Proportional to 498.40, 690.92 and 472.05

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Solution

The fourth proportional to 498.40, 690.92 and 472.05 is: 654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.40 : 690.92 = 472.05 : x
  2. Step 2: Convert to fraction form
    498.40/690.92 = 472.05/x
  3. Step 3: Cross multiply
    498.40x = 690.92 × 472.05
  4. Step 4: Simplify right side
    498.40x = 326,150.85
  5. Step 5: Solve for x
    x = 326,150.85/498.40
  6. Step 6: Final answer
    x = 654.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.