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Finding the Fourth Proportional to 786.27, 1,084.47 and 520.24

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Solution

The fourth proportional to 786.27, 1,084.47 and 520.24 is: 717.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.27 : 1,084.47 = 520.24 : x
  2. Step 2: Convert to fraction form
    786.27/1,084.47 = 520.24/x
  3. Step 3: Cross multiply
    786.27x = 1,084.47 × 520.24
  4. Step 4: Simplify right side
    786.27x = 564,184.97
  5. Step 5: Solve for x
    x = 564,184.97/786.27
  6. Step 6: Final answer
    x = 717.54

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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.