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Finding the Fourth Proportional to 1,114.88, 1,532.09 and 904.61

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Solution

The fourth proportional to 1,114.88, 1,532.09 and 904.61 is: 1,243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.88 : 1,532.09 = 904.61 : x
  2. Step 2: Convert to fraction form
    1,114.88/1,532.09 = 904.61/x
  3. Step 3: Cross multiply
    1,114.88x = 1,532.09 × 904.61
  4. Step 4: Simplify right side
    1,114.88x = 1,385,936.27
  5. Step 5: Solve for x
    x = 1,385,936.27/1,114.88
  6. Step 6: Final answer
    x = 1,243.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.