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Finding the Fourth Proportional to 1,133.10, 1,699.65 and 927.90

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Solution

The fourth proportional to 1,133.10, 1,699.65 and 927.90 is: 1,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.10 : 1,699.65 = 927.90 : x
  2. Step 2: Convert to fraction form
    1,133.10/1,699.65 = 927.90/x
  3. Step 3: Cross multiply
    1,133.10x = 1,699.65 × 927.90
  4. Step 4: Simplify right side
    1,133.10x = 1,577,105.24
  5. Step 5: Solve for x
    x = 1,577,105.24/1,133.10
  6. Step 6: Final answer
    x = 1,391.85

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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.