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Finding the Fourth Proportional to 805.54, 1,207.32 and 459.17

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Solution

The fourth proportional to 805.54, 1,207.32 and 459.17 is: 688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.54 : 1,207.32 = 459.17 : x
  2. Step 2: Convert to fraction form
    805.54/1,207.32 = 459.17/x
  3. Step 3: Cross multiply
    805.54x = 1,207.32 × 459.17
  4. Step 4: Simplify right side
    805.54x = 554,365.12
  5. Step 5: Solve for x
    x = 554,365.12/805.54
  6. Step 6: Final answer
    x = 688.19

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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.