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Finding the Fourth Proportional to 851.78, 1,175.45 and 520.19

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Solution

The fourth proportional to 851.78, 1,175.45 and 520.19 is: 717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.78 : 1,175.45 = 520.19 : x
  2. Step 2: Convert to fraction form
    851.78/1,175.45 = 520.19/x
  3. Step 3: Cross multiply
    851.78x = 1,175.45 × 520.19
  4. Step 4: Simplify right side
    851.78x = 611,448.86
  5. Step 5: Solve for x
    x = 611,448.86/851.78
  6. Step 6: Final answer
    x = 717.85

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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.