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Finding the Fourth Proportional to 1,187.66, 1,780.86 and 594.59

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Solution

The fourth proportional to 1,187.66, 1,780.86 and 594.59 is: 891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.66 : 1,780.86 = 594.59 : x
  2. Step 2: Convert to fraction form
    1,187.66/1,780.86 = 594.59/x
  3. Step 3: Cross multiply
    1,187.66x = 1,780.86 × 594.59
  4. Step 4: Simplify right side
    1,187.66x = 1,058,869.67
  5. Step 5: Solve for x
    x = 1,058,869.67/1,187.66
  6. Step 6: Final answer
    x = 891.56

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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.