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Finding the Fourth Proportional to 1,387.23, 2,078.71 and 565.28

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Solution

The fourth proportional to 1,387.23, 2,078.71 and 565.28 is: 847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.23 : 2,078.71 = 565.28 : x
  2. Step 2: Convert to fraction form
    1,387.23/2,078.71 = 565.28/x
  3. Step 3: Cross multiply
    1,387.23x = 2,078.71 × 565.28
  4. Step 4: Simplify right side
    1,387.23x = 1,175,052.36
  5. Step 5: Solve for x
    x = 1,175,052.36/1,387.23
  6. Step 6: Final answer
    x = 847.05

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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.