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Finding the Fourth Proportional to 985.74, 1,478.61 and 498.12

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Solution

The fourth proportional to 985.74, 1,478.61 and 498.12 is: 747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.74 : 1,478.61 = 498.12 : x
  2. Step 2: Convert to fraction form
    985.74/1,478.61 = 498.12/x
  3. Step 3: Cross multiply
    985.74x = 1,478.61 × 498.12
  4. Step 4: Simplify right side
    985.74x = 736,525.21
  5. Step 5: Solve for x
    x = 736,525.21/985.74
  6. Step 6: Final answer
    x = 747.18

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Double scale
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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.