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Finding the Fourth Proportional to 1,132.20, 1,699.38 and 584.78

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Solution

The fourth proportional to 1,132.20, 1,699.38 and 584.78 is: 877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.20 : 1,699.38 = 584.78 : x
  2. Step 2: Convert to fraction form
    1,132.20/1,699.38 = 584.78/x
  3. Step 3: Cross multiply
    1,132.20x = 1,699.38 × 584.78
  4. Step 4: Simplify right side
    1,132.20x = 993,754.94
  5. Step 5: Solve for x
    x = 993,754.94/1,132.20
  6. Step 6: Final answer
    x = 877.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.