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Finding the Fourth Proportional to 1,152.83, 1,592.41 and 932.61

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Solution

The fourth proportional to 1,152.83, 1,592.41 and 932.61 is: 1,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.83 : 1,592.41 = 932.61 : x
  2. Step 2: Convert to fraction form
    1,152.83/1,592.41 = 932.61/x
  3. Step 3: Cross multiply
    1,152.83x = 1,592.41 × 932.61
  4. Step 4: Simplify right side
    1,152.83x = 1,485,102.88
  5. Step 5: Solve for x
    x = 1,485,102.88/1,152.83
  6. Step 6: Final answer
    x = 1,288.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.