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Finding the Fourth Proportional to 564.39, 836.01 and 557.91

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Solution

The fourth proportional to 564.39, 836.01 and 557.91 is: 826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.39 : 836.01 = 557.91 : x
  2. Step 2: Convert to fraction form
    564.39/836.01 = 557.91/x
  3. Step 3: Cross multiply
    564.39x = 836.01 × 557.91
  4. Step 4: Simplify right side
    564.39x = 466,418.34
  5. Step 5: Solve for x
    x = 466,418.34/564.39
  6. Step 6: Final answer
    x = 826.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.