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Finding the Fourth Proportional to 553.18, 830.71 and 531.11

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Solution

The fourth proportional to 553.18, 830.71 and 531.11 is: 797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.18 : 830.71 = 531.11 : x
  2. Step 2: Convert to fraction form
    553.18/830.71 = 531.11/x
  3. Step 3: Cross multiply
    553.18x = 830.71 × 531.11
  4. Step 4: Simplify right side
    553.18x = 441,193.47
  5. Step 5: Solve for x
    x = 441,193.47/553.18
  6. Step 6: Final answer
    x = 797.56

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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.