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Finding the Fourth Proportional to 1,251.77, 1,877.36 and 471.85

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Solution

The fourth proportional to 1,251.77, 1,877.36 and 471.85 is: 707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.77 : 1,877.36 = 471.85 : x
  2. Step 2: Convert to fraction form
    1,251.77/1,877.36 = 471.85/x
  3. Step 3: Cross multiply
    1,251.77x = 1,877.36 × 471.85
  4. Step 4: Simplify right side
    1,251.77x = 885,825.26
  5. Step 5: Solve for x
    x = 885,825.26/1,251.77
  6. Step 6: Final answer
    x = 707.66

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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.