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Finding the Fourth Proportional to 1,089.46, 1,504.07 and 717.52

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Solution

The fourth proportional to 1,089.46, 1,504.07 and 717.52 is: 990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.46 : 1,504.07 = 717.52 : x
  2. Step 2: Convert to fraction form
    1,089.46/1,504.07 = 717.52/x
  3. Step 3: Cross multiply
    1,089.46x = 1,504.07 × 717.52
  4. Step 4: Simplify right side
    1,089.46x = 1,079,192.79
  5. Step 5: Solve for x
    x = 1,079,192.79/1,089.46
  6. Step 6: Final answer
    x = 990.58

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Why These Related Problems?

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