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Finding the Fourth Proportional to 974.77, 1,461.47 and 487.49

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Solution

The fourth proportional to 974.77, 1,461.47 and 487.49 is: 730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.77 : 1,461.47 = 487.49 : x
  2. Step 2: Convert to fraction form
    974.77/1,461.47 = 487.49/x
  3. Step 3: Cross multiply
    974.77x = 1,461.47 × 487.49
  4. Step 4: Simplify right side
    974.77x = 712,442.27
  5. Step 5: Solve for x
    x = 712,442.27/974.77
  6. Step 6: Final answer
    x = 730.88

Related Problems

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Half scale
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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.