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Finding the Fourth Proportional to 568.72, 847.68 and 537.36

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Solution

The fourth proportional to 568.72, 847.68 and 537.36 is: 800.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.72 : 847.68 = 537.36 : x
  2. Step 2: Convert to fraction form
    568.72/847.68 = 537.36/x
  3. Step 3: Cross multiply
    568.72x = 847.68 × 537.36
  4. Step 4: Simplify right side
    568.72x = 455,509.32
  5. Step 5: Solve for x
    x = 455,509.32/568.72
  6. Step 6: Final answer
    x = 800.94

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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.