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Finding the Fourth Proportional to 956.39, 1,433.36 and 545.75

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Solution

The fourth proportional to 956.39, 1,433.36 and 545.75 is: 817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.39 : 1,433.36 = 545.75 : x
  2. Step 2: Convert to fraction form
    956.39/1,433.36 = 545.75/x
  3. Step 3: Cross multiply
    956.39x = 1,433.36 × 545.75
  4. Step 4: Simplify right side
    956.39x = 782,255.79
  5. Step 5: Solve for x
    x = 782,255.79/956.39
  6. Step 6: Final answer
    x = 817.93

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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.