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Finding the Fourth Proportional to 557.22, 833.97 and 362.40

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Solution

The fourth proportional to 557.22, 833.97 and 362.40 is: 542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.22 : 833.97 = 362.40 : x
  2. Step 2: Convert to fraction form
    557.22/833.97 = 362.40/x
  3. Step 3: Cross multiply
    557.22x = 833.97 × 362.40
  4. Step 4: Simplify right side
    557.22x = 302,230.73
  5. Step 5: Solve for x
    x = 302,230.73/557.22
  6. Step 6: Final answer
    x = 542.39

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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.