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Finding the Fourth Proportional to 985.22, 1,478.74 and 498.61

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Solution

The fourth proportional to 985.22, 1,478.74 and 498.61 is: 748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.22 : 1,478.74 = 498.61 : x
  2. Step 2: Convert to fraction form
    985.22/1,478.74 = 498.61/x
  3. Step 3: Cross multiply
    985.22x = 1,478.74 × 498.61
  4. Step 4: Simplify right side
    985.22x = 737,314.55
  5. Step 5: Solve for x
    x = 737,314.55/985.22
  6. Step 6: Final answer
    x = 748.38

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Double scale
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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.