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Finding the Fourth Proportional to 929.88, 1,396.17 and 565.38

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Solution

The fourth proportional to 929.88, 1,396.17 and 565.38 is: 848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.88 : 1,396.17 = 565.38 : x
  2. Step 2: Convert to fraction form
    929.88/1,396.17 = 565.38/x
  3. Step 3: Cross multiply
    929.88x = 1,396.17 × 565.38
  4. Step 4: Simplify right side
    929.88x = 789,366.59
  5. Step 5: Solve for x
    x = 789,366.59/929.88
  6. Step 6: Final answer
    x = 848.89

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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.