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Finding the Fourth Proportional to 680.24, 935.88 and 593.12

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Solution

The fourth proportional to 680.24, 935.88 and 593.12 is: 816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.24 : 935.88 = 593.12 : x
  2. Step 2: Convert to fraction form
    680.24/935.88 = 593.12/x
  3. Step 3: Cross multiply
    680.24x = 935.88 × 593.12
  4. Step 4: Simplify right side
    680.24x = 555,089.15
  5. Step 5: Solve for x
    x = 555,089.15/680.24
  6. Step 6: Final answer
    x = 816.02

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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.