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Finding the Fourth Proportional to 1,011.57, 1,397.08 and 997.91

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Solution

The fourth proportional to 1,011.57, 1,397.08 and 997.91 is: 1,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.57 : 1,397.08 = 997.91 : x
  2. Step 2: Convert to fraction form
    1,011.57/1,397.08 = 997.91/x
  3. Step 3: Cross multiply
    1,011.57x = 1,397.08 × 997.91
  4. Step 4: Simplify right side
    1,011.57x = 1,394,160.10
  5. Step 5: Solve for x
    x = 1,394,160.10/1,011.57
  6. Step 6: Final answer
    x = 1,378.21

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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.