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Finding the Fourth Proportional to 1,254.42, 1,876.77 and 841.59

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Solution

The fourth proportional to 1,254.42, 1,876.77 and 841.59 is: 1,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.42 : 1,876.77 = 841.59 : x
  2. Step 2: Convert to fraction form
    1,254.42/1,876.77 = 841.59/x
  3. Step 3: Cross multiply
    1,254.42x = 1,876.77 × 841.59
  4. Step 4: Simplify right side
    1,254.42x = 1,579,470.86
  5. Step 5: Solve for x
    x = 1,579,470.86/1,254.42
  6. Step 6: Final answer
    x = 1,259.12

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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.