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Finding the Fourth Proportional to 1,013.72, 1,402.62 and 883.16

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Solution

The fourth proportional to 1,013.72, 1,402.62 and 883.16 is: 1,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.72 : 1,402.62 = 883.16 : x
  2. Step 2: Convert to fraction form
    1,013.72/1,402.62 = 883.16/x
  3. Step 3: Cross multiply
    1,013.72x = 1,402.62 × 883.16
  4. Step 4: Simplify right side
    1,013.72x = 1,238,737.88
  5. Step 5: Solve for x
    x = 1,238,737.88/1,013.72
  6. Step 6: Final answer
    x = 1,221.97

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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.