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Finding the Fourth Proportional to 1,565.93, 2,160.99 and 857.76

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Solution

The fourth proportional to 1,565.93, 2,160.99 and 857.76 is: 1,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.93 : 2,160.99 = 857.76 : x
  2. Step 2: Convert to fraction form
    1,565.93/2,160.99 = 857.76/x
  3. Step 3: Cross multiply
    1,565.93x = 2,160.99 × 857.76
  4. Step 4: Simplify right side
    1,565.93x = 1,853,610.78
  5. Step 5: Solve for x
    x = 1,853,610.78/1,565.93
  6. Step 6: Final answer
    x = 1,183.72

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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.