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Finding the Fourth Proportional to 555.85, 826.61 and 538.57

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Solution

The fourth proportional to 555.85, 826.61 and 538.57 is: 800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.85 : 826.61 = 538.57 : x
  2. Step 2: Convert to fraction form
    555.85/826.61 = 538.57/x
  3. Step 3: Cross multiply
    555.85x = 826.61 × 538.57
  4. Step 4: Simplify right side
    555.85x = 445,187.35
  5. Step 5: Solve for x
    x = 445,187.35/555.85
  6. Step 6: Final answer
    x = 800.91

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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.