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Finding the Fourth Proportional to 561.38, 840.77 and 541.92

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Solution

The fourth proportional to 561.38, 840.77 and 541.92 is: 811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.38 : 840.77 = 541.92 : x
  2. Step 2: Convert to fraction form
    561.38/840.77 = 541.92/x
  3. Step 3: Cross multiply
    561.38x = 840.77 × 541.92
  4. Step 4: Simplify right side
    561.38x = 455,630.08
  5. Step 5: Solve for x
    x = 455,630.08/561.38
  6. Step 6: Final answer
    x = 811.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.