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Finding the Fourth Proportional to 974.20, 1,459.68 and 685.03

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Solution

The fourth proportional to 974.20, 1,459.68 and 685.03 is: 1,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.20 : 1,459.68 = 685.03 : x
  2. Step 2: Convert to fraction form
    974.20/1,459.68 = 685.03/x
  3. Step 3: Cross multiply
    974.20x = 1,459.68 × 685.03
  4. Step 4: Simplify right side
    974.20x = 999,924.59
  5. Step 5: Solve for x
    x = 999,924.59/974.20
  6. Step 6: Final answer
    x = 1,026.41

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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.