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Finding the Fourth Proportional to 1,000.47, 1,497.97 and 675.19

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Solution

The fourth proportional to 1,000.47, 1,497.97 and 675.19 is: 1,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.47 : 1,497.97 = 675.19 : x
  2. Step 2: Convert to fraction form
    1,000.47/1,497.97 = 675.19/x
  3. Step 3: Cross multiply
    1,000.47x = 1,497.97 × 675.19
  4. Step 4: Simplify right side
    1,000.47x = 1,011,414.36
  5. Step 5: Solve for x
    x = 1,011,414.36/1,000.47
  6. Step 6: Final answer
    x = 1,010.94

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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.