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Finding the Fourth Proportional to 805.05, 1,207.08 and 458.22

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Solution

The fourth proportional to 805.05, 1,207.08 and 458.22 is: 687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.05 : 1,207.08 = 458.22 : x
  2. Step 2: Convert to fraction form
    805.05/1,207.08 = 458.22/x
  3. Step 3: Cross multiply
    805.05x = 1,207.08 × 458.22
  4. Step 4: Simplify right side
    805.05x = 553,108.20
  5. Step 5: Solve for x
    x = 553,108.20/805.05
  6. Step 6: Final answer
    x = 687.05

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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.