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Finding the Fourth Proportional to 926.17, 1,389.71 and 439.09

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Solution

The fourth proportional to 926.17, 1,389.71 and 439.09 is: 658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.17 : 1,389.71 = 439.09 : x
  2. Step 2: Convert to fraction form
    926.17/1,389.71 = 439.09/x
  3. Step 3: Cross multiply
    926.17x = 1,389.71 × 439.09
  4. Step 4: Simplify right side
    926.17x = 610,207.76
  5. Step 5: Solve for x
    x = 610,207.76/926.17
  6. Step 6: Final answer
    x = 658.85

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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.