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Finding the Fourth Proportional to 851.91, 1,175.20 and 571.78

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Solution

The fourth proportional to 851.91, 1,175.20 and 571.78 is: 788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.91 : 1,175.20 = 571.78 : x
  2. Step 2: Convert to fraction form
    851.91/1,175.20 = 571.78/x
  3. Step 3: Cross multiply
    851.91x = 1,175.20 × 571.78
  4. Step 4: Simplify right side
    851.91x = 671,955.86
  5. Step 5: Solve for x
    x = 671,955.86/851.91
  6. Step 6: Final answer
    x = 788.76

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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.