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Finding the Fourth Proportional to 1,038.66, 1,432.62 and 724.04

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Solution

The fourth proportional to 1,038.66, 1,432.62 and 724.04 is: 998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.66 : 1,432.62 = 724.04 : x
  2. Step 2: Convert to fraction form
    1,038.66/1,432.62 = 724.04/x
  3. Step 3: Cross multiply
    1,038.66x = 1,432.62 × 724.04
  4. Step 4: Simplify right side
    1,038.66x = 1,037,274.18
  5. Step 5: Solve for x
    x = 1,037,274.18/1,038.66
  6. Step 6: Final answer
    x = 998.67

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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.