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Finding the Fourth Proportional to 1,397.97, 2,095.52 and 473.22

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Solution

The fourth proportional to 1,397.97, 2,095.52 and 473.22 is: 709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.97 : 2,095.52 = 473.22 : x
  2. Step 2: Convert to fraction form
    1,397.97/2,095.52 = 473.22/x
  3. Step 3: Cross multiply
    1,397.97x = 2,095.52 × 473.22
  4. Step 4: Simplify right side
    1,397.97x = 991,639.61
  5. Step 5: Solve for x
    x = 991,639.61/1,397.97
  6. Step 6: Final answer
    x = 709.34

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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.