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Finding the Fourth Proportional to 985.52, 1,478.68 and 498.72

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Solution

The fourth proportional to 985.52, 1,478.68 and 498.72 is: 748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.52 : 1,478.68 = 498.72 : x
  2. Step 2: Convert to fraction form
    985.52/1,478.68 = 498.72/x
  3. Step 3: Cross multiply
    985.52x = 1,478.68 × 498.72
  4. Step 4: Simplify right side
    985.52x = 737,447.29
  5. Step 5: Solve for x
    x = 737,447.29/985.52
  6. Step 6: Final answer
    x = 748.28

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1.5x scale

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.