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Finding the Fourth Proportional to 929.32, 1,283.10 and 753.06

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Solution

The fourth proportional to 929.32, 1,283.10 and 753.06 is: 1,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.32 : 1,283.10 = 753.06 : x
  2. Step 2: Convert to fraction form
    929.32/1,283.10 = 753.06/x
  3. Step 3: Cross multiply
    929.32x = 1,283.10 × 753.06
  4. Step 4: Simplify right side
    929.32x = 966,251.29
  5. Step 5: Solve for x
    x = 966,251.29/929.32
  6. Step 6: Final answer
    x = 1,039.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.