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Finding the Fourth Proportional to 561.70, 847.57 and 539.22

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Solution

The fourth proportional to 561.70, 847.57 and 539.22 is: 813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.70 : 847.57 = 539.22 : x
  2. Step 2: Convert to fraction form
    561.70/847.57 = 539.22/x
  3. Step 3: Cross multiply
    561.70x = 847.57 × 539.22
  4. Step 4: Simplify right side
    561.70x = 457,026.70
  5. Step 5: Solve for x
    x = 457,026.70/561.70
  6. Step 6: Final answer
    x = 813.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.