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Finding the Fourth Proportional to 806.64, 1,209.88 and 458.88

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Solution

The fourth proportional to 806.64, 1,209.88 and 458.88 is: 688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.64 : 1,209.88 = 458.88 : x
  2. Step 2: Convert to fraction form
    806.64/1,209.88 = 458.88/x
  3. Step 3: Cross multiply
    806.64x = 1,209.88 × 458.88
  4. Step 4: Simplify right side
    806.64x = 555,189.73
  5. Step 5: Solve for x
    x = 555,189.73/806.64
  6. Step 6: Final answer
    x = 688.27

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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.