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Finding the Fourth Proportional to 561.76, 838.62 and 557.88

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Solution

The fourth proportional to 561.76, 838.62 and 557.88 is: 832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.76 : 838.62 = 557.88 : x
  2. Step 2: Convert to fraction form
    561.76/838.62 = 557.88/x
  3. Step 3: Cross multiply
    561.76x = 838.62 × 557.88
  4. Step 4: Simplify right side
    561.76x = 467,849.33
  5. Step 5: Solve for x
    x = 467,849.33/561.76
  6. Step 6: Final answer
    x = 832.83

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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.