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Finding the Fourth Proportional to 561.87, 847.88 and 541.53

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Solution

The fourth proportional to 561.87, 847.88 and 541.53 is: 817.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.87 : 847.88 = 541.53 : x
  2. Step 2: Convert to fraction form
    561.87/847.88 = 541.53/x
  3. Step 3: Cross multiply
    561.87x = 847.88 × 541.53
  4. Step 4: Simplify right side
    561.87x = 459,149.75
  5. Step 5: Solve for x
    x = 459,149.75/561.87
  6. Step 6: Final answer
    x = 817.18

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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.