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Finding the Fourth Proportional to 1,149.89, 1,587.74 and 883.91

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Solution

The fourth proportional to 1,149.89, 1,587.74 and 883.91 is: 1,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.89 : 1,587.74 = 883.91 : x
  2. Step 2: Convert to fraction form
    1,149.89/1,587.74 = 883.91/x
  3. Step 3: Cross multiply
    1,149.89x = 1,587.74 × 883.91
  4. Step 4: Simplify right side
    1,149.89x = 1,403,406.91
  5. Step 5: Solve for x
    x = 1,403,406.91/1,149.89
  6. Step 6: Final answer
    x = 1,220.48

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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.