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Finding the Fourth Proportional to 833.79, 1,250.56 and 524.70

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Solution

The fourth proportional to 833.79, 1,250.56 and 524.70 is: 786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.79 : 1,250.56 = 524.70 : x
  2. Step 2: Convert to fraction form
    833.79/1,250.56 = 524.70/x
  3. Step 3: Cross multiply
    833.79x = 1,250.56 × 524.70
  4. Step 4: Simplify right side
    833.79x = 656,168.83
  5. Step 5: Solve for x
    x = 656,168.83/833.79
  6. Step 6: Final answer
    x = 786.97

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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.