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Finding the Fourth Proportional to 807.25, 1,209.67 and 460.40

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Solution

The fourth proportional to 807.25, 1,209.67 and 460.40 is: 689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.25 : 1,209.67 = 460.40 : x
  2. Step 2: Convert to fraction form
    807.25/1,209.67 = 460.40/x
  3. Step 3: Cross multiply
    807.25x = 1,209.67 × 460.40
  4. Step 4: Simplify right side
    807.25x = 556,932.07
  5. Step 5: Solve for x
    x = 556,932.07/807.25
  6. Step 6: Final answer
    x = 689.92

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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.