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Finding the Fourth Proportional to 955.96, 1,434.45 and 545.38

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Solution

The fourth proportional to 955.96, 1,434.45 and 545.38 is: 818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.96 : 1,434.45 = 545.38 : x
  2. Step 2: Convert to fraction form
    955.96/1,434.45 = 545.38/x
  3. Step 3: Cross multiply
    955.96x = 1,434.45 × 545.38
  4. Step 4: Simplify right side
    955.96x = 782,324.76
  5. Step 5: Solve for x
    x = 782,324.76/955.96
  6. Step 6: Final answer
    x = 818.37

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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.