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Finding the Fourth Proportional to 622.31, 931.63 and 545.43

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Solution

The fourth proportional to 622.31, 931.63 and 545.43 is: 816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.31 : 931.63 = 545.43 : x
  2. Step 2: Convert to fraction form
    622.31/931.63 = 545.43/x
  3. Step 3: Cross multiply
    622.31x = 931.63 × 545.43
  4. Step 4: Simplify right side
    622.31x = 508,138.95
  5. Step 5: Solve for x
    x = 508,138.95/622.31
  6. Step 6: Final answer
    x = 816.54

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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.