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Finding the Fourth Proportional to 1,565.82, 2,349.54 and 699.96

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Solution

The fourth proportional to 1,565.82, 2,349.54 and 699.96 is: 1,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.82 : 2,349.54 = 699.96 : x
  2. Step 2: Convert to fraction form
    1,565.82/2,349.54 = 699.96/x
  3. Step 3: Cross multiply
    1,565.82x = 2,349.54 × 699.96
  4. Step 4: Simplify right side
    1,565.82x = 1,644,584.02
  5. Step 5: Solve for x
    x = 1,644,584.02/1,565.82
  6. Step 6: Final answer
    x = 1,050.30

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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.