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Finding the Fourth Proportional to 1,142.57, 1,576.33 and 877.23

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Solution

The fourth proportional to 1,142.57, 1,576.33 and 877.23 is: 1,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.57 : 1,576.33 = 877.23 : x
  2. Step 2: Convert to fraction form
    1,142.57/1,576.33 = 877.23/x
  3. Step 3: Cross multiply
    1,142.57x = 1,576.33 × 877.23
  4. Step 4: Simplify right side
    1,142.57x = 1,382,801.77
  5. Step 5: Solve for x
    x = 1,382,801.77/1,142.57
  6. Step 6: Final answer
    x = 1,210.25

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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.