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Finding the Fourth Proportional to 680.77, 939.04 and 593.65

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Solution

The fourth proportional to 680.77, 939.04 and 593.65 is: 818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.77 : 939.04 = 593.65 : x
  2. Step 2: Convert to fraction form
    680.77/939.04 = 593.65/x
  3. Step 3: Cross multiply
    680.77x = 939.04 × 593.65
  4. Step 4: Simplify right side
    680.77x = 557,461.10
  5. Step 5: Solve for x
    x = 557,461.10/680.77
  6. Step 6: Final answer
    x = 818.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.