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Finding the Fourth Proportional to 556.69, 833.69 and 542.11

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Solution

The fourth proportional to 556.69, 833.69 and 542.11 is: 811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.69 : 833.69 = 542.11 : x
  2. Step 2: Convert to fraction form
    556.69/833.69 = 542.11/x
  3. Step 3: Cross multiply
    556.69x = 833.69 × 542.11
  4. Step 4: Simplify right side
    556.69x = 451,951.69
  5. Step 5: Solve for x
    x = 451,951.69/556.69
  6. Step 6: Final answer
    x = 811.86

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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.