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Finding the Fourth Proportional to 974.29, 1,459.67 and 535.06

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Solution

The fourth proportional to 974.29, 1,459.67 and 535.06 is: 801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.29 : 1,459.67 = 535.06 : x
  2. Step 2: Convert to fraction form
    974.29/1,459.67 = 535.06/x
  3. Step 3: Cross multiply
    974.29x = 1,459.67 × 535.06
  4. Step 4: Simplify right side
    974.29x = 781,011.03
  5. Step 5: Solve for x
    x = 781,011.03/974.29
  6. Step 6: Final answer
    x = 801.62

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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.