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Finding the Fourth Proportional to 1,061.24, 1,591.02 and 540.77

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Solution

The fourth proportional to 1,061.24, 1,591.02 and 540.77 is: 810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.24 : 1,591.02 = 540.77 : x
  2. Step 2: Convert to fraction form
    1,061.24/1,591.02 = 540.77/x
  3. Step 3: Cross multiply
    1,061.24x = 1,591.02 × 540.77
  4. Step 4: Simplify right side
    1,061.24x = 860,367.93
  5. Step 5: Solve for x
    x = 860,367.93/1,061.24
  6. Step 6: Final answer
    x = 810.72

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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.