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Finding the Fourth Proportional to 805.85, 1,209.15 and 586.69

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Solution

The fourth proportional to 805.85, 1,209.15 and 586.69 is: 880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.85 : 1,209.15 = 586.69 : x
  2. Step 2: Convert to fraction form
    805.85/1,209.15 = 586.69/x
  3. Step 3: Cross multiply
    805.85x = 1,209.15 × 586.69
  4. Step 4: Simplify right side
    805.85x = 709,401.64
  5. Step 5: Solve for x
    x = 709,401.64/805.85
  6. Step 6: Final answer
    x = 880.32

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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.