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Finding the Fourth Proportional to 1,587.64, 2,380.86 and 765.72

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Solution

The fourth proportional to 1,587.64, 2,380.86 and 765.72 is: 1,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.64 : 2,380.86 = 765.72 : x
  2. Step 2: Convert to fraction form
    1,587.64/2,380.86 = 765.72/x
  3. Step 3: Cross multiply
    1,587.64x = 2,380.86 × 765.72
  4. Step 4: Simplify right side
    1,587.64x = 1,823,072.12
  5. Step 5: Solve for x
    x = 1,823,072.12/1,587.64
  6. Step 6: Final answer
    x = 1,148.29

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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.