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Finding the Fourth Proportional to 1,565.42, 2,349.72 and 785.97

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Solution

The fourth proportional to 1,565.42, 2,349.72 and 785.97 is: 1,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.42 : 2,349.72 = 785.97 : x
  2. Step 2: Convert to fraction form
    1,565.42/2,349.72 = 785.97/x
  3. Step 3: Cross multiply
    1,565.42x = 2,349.72 × 785.97
  4. Step 4: Simplify right side
    1,565.42x = 1,846,809.43
  5. Step 5: Solve for x
    x = 1,846,809.43/1,565.42
  6. Step 6: Final answer
    x = 1,179.76

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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.