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Finding the Fourth Proportional to 833.10, 1,247.03 and 571.57

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Solution

The fourth proportional to 833.10, 1,247.03 and 571.57 is: 855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.10 : 1,247.03 = 571.57 : x
  2. Step 2: Convert to fraction form
    833.10/1,247.03 = 571.57/x
  3. Step 3: Cross multiply
    833.10x = 1,247.03 × 571.57
  4. Step 4: Simplify right side
    833.10x = 712,768.41
  5. Step 5: Solve for x
    x = 712,768.41/833.10
  6. Step 6: Final answer
    x = 855.56

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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.