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Finding the Fourth Proportional to 807.58, 1,209.90 and 460.48

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Solution

The fourth proportional to 807.58, 1,209.90 and 460.48 is: 689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.58 : 1,209.90 = 460.48 : x
  2. Step 2: Convert to fraction form
    807.58/1,209.90 = 460.48/x
  3. Step 3: Cross multiply
    807.58x = 1,209.90 × 460.48
  4. Step 4: Simplify right side
    807.58x = 557,134.75
  5. Step 5: Solve for x
    x = 557,134.75/807.58
  6. Step 6: Final answer
    x = 689.88

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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.