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Finding the Fourth Proportional to 1,187.43, 1,781.06 and 570.98

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Solution

The fourth proportional to 1,187.43, 1,781.06 and 570.98 is: 856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.43 : 1,781.06 = 570.98 : x
  2. Step 2: Convert to fraction form
    1,187.43/1,781.06 = 570.98/x
  3. Step 3: Cross multiply
    1,187.43x = 1,781.06 × 570.98
  4. Step 4: Simplify right side
    1,187.43x = 1,016,951.24
  5. Step 5: Solve for x
    x = 1,016,951.24/1,187.43
  6. Step 6: Final answer
    x = 856.43

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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.