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Finding the Fourth Proportional to 851.76, 1,175.94 and 557.52

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Solution

The fourth proportional to 851.76, 1,175.94 and 557.52 is: 769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.76 : 1,175.94 = 557.52 : x
  2. Step 2: Convert to fraction form
    851.76/1,175.94 = 557.52/x
  3. Step 3: Cross multiply
    851.76x = 1,175.94 × 557.52
  4. Step 4: Simplify right side
    851.76x = 655,610.07
  5. Step 5: Solve for x
    x = 655,610.07/851.76
  6. Step 6: Final answer
    x = 769.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.