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Finding the Fourth Proportional to 680.16, 937.80 and 575.06

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Solution

The fourth proportional to 680.16, 937.80 and 575.06 is: 792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.16 : 937.80 = 575.06 : x
  2. Step 2: Convert to fraction form
    680.16/937.80 = 575.06/x
  3. Step 3: Cross multiply
    680.16x = 937.80 × 575.06
  4. Step 4: Simplify right side
    680.16x = 539,293.61
  5. Step 5: Solve for x
    x = 539,293.61/680.16
  6. Step 6: Final answer
    x = 792.89

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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.