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Finding the Fourth Proportional to 1,251.48, 1,877.67 and 558.09

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Solution

The fourth proportional to 1,251.48, 1,877.67 and 558.09 is: 837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.48 : 1,877.67 = 558.09 : x
  2. Step 2: Convert to fraction form
    1,251.48/1,877.67 = 558.09/x
  3. Step 3: Cross multiply
    1,251.48x = 1,877.67 × 558.09
  4. Step 4: Simplify right side
    1,251.48x = 1,047,902.76
  5. Step 5: Solve for x
    x = 1,047,902.76/1,251.48
  6. Step 6: Final answer
    x = 837.33

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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.