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Finding the Fourth Proportional to 1,008.46, 1,390.98 and 724.64

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Solution

The fourth proportional to 1,008.46, 1,390.98 and 724.64 is: 999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.46 : 1,390.98 = 724.64 : x
  2. Step 2: Convert to fraction form
    1,008.46/1,390.98 = 724.64/x
  3. Step 3: Cross multiply
    1,008.46x = 1,390.98 × 724.64
  4. Step 4: Simplify right side
    1,008.46x = 1,007,959.75
  5. Step 5: Solve for x
    x = 1,007,959.75/1,008.46
  6. Step 6: Final answer
    x = 999.50

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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.