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Finding the Fourth Proportional to 974.06, 1,459.78 and 487.46

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Solution

The fourth proportional to 974.06, 1,459.78 and 487.46 is: 730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.06 : 1,459.78 = 487.46 : x
  2. Step 2: Convert to fraction form
    974.06/1,459.78 = 487.46/x
  3. Step 3: Cross multiply
    974.06x = 1,459.78 × 487.46
  4. Step 4: Simplify right side
    974.06x = 711,584.36
  5. Step 5: Solve for x
    x = 711,584.36/974.06
  6. Step 6: Final answer
    x = 730.53

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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.