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Finding the Fourth Proportional to 880, 1,317.66 and 570.96

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Solution

The fourth proportional to 880, 1,317.66 and 570.96 is: 854.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    880 : 1,317.66 = 570.96 : x
  2. Step 2: Convert to fraction form
    880/1,317.66 = 570.96/x
  3. Step 3: Cross multiply
    880x = 1,317.66 × 570.96
  4. Step 4: Simplify right side
    880x = 752,331.15
  5. Step 5: Solve for x
    x = 752,331.15/880
  6. Step 6: Final answer
    x = 854.92

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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.