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Finding the Fourth Proportional to 867.32, 1,302.58 and 809.08

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Solution

The fourth proportional to 867.32, 1,302.58 and 809.08 is: 1,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.32 : 1,302.58 = 809.08 : x
  2. Step 2: Convert to fraction form
    867.32/1,302.58 = 809.08/x
  3. Step 3: Cross multiply
    867.32x = 1,302.58 × 809.08
  4. Step 4: Simplify right side
    867.32x = 1,053,891.43
  5. Step 5: Solve for x
    x = 1,053,891.43/867.32
  6. Step 6: Final answer
    x = 1,215.11

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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.