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Finding the Fourth Proportional to 591.68, 819.80 and 578.72

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Solution

The fourth proportional to 591.68, 819.80 and 578.72 is: 801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.68 : 819.80 = 578.72 : x
  2. Step 2: Convert to fraction form
    591.68/819.80 = 578.72/x
  3. Step 3: Cross multiply
    591.68x = 819.80 × 578.72
  4. Step 4: Simplify right side
    591.68x = 474,434.66
  5. Step 5: Solve for x
    x = 474,434.66/591.68
  6. Step 6: Final answer
    x = 801.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.