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Finding the Fourth Proportional to 568.76, 847.80 and 537.98

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Solution

The fourth proportional to 568.76, 847.80 and 537.98 is: 801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.76 : 847.80 = 537.98 : x
  2. Step 2: Convert to fraction form
    568.76/847.80 = 537.98/x
  3. Step 3: Cross multiply
    568.76x = 847.80 × 537.98
  4. Step 4: Simplify right side
    568.76x = 456,095.21
  5. Step 5: Solve for x
    x = 456,095.21/568.76
  6. Step 6: Final answer
    x = 801.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.