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Finding the Fourth Proportional to 955.79, 1,435.05 and 545.75

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Solution

The fourth proportional to 955.79, 1,435.05 and 545.75 is: 819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.79 : 1,435.05 = 545.75 : x
  2. Step 2: Convert to fraction form
    955.79/1,435.05 = 545.75/x
  3. Step 3: Cross multiply
    955.79x = 1,435.05 × 545.75
  4. Step 4: Simplify right side
    955.79x = 783,178.54
  5. Step 5: Solve for x
    x = 783,178.54/955.79
  6. Step 6: Final answer
    x = 819.40

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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.