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Finding the Fourth Proportional to 955.12, 1,433.68 and 545.06

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Solution

The fourth proportional to 955.12, 1,433.68 and 545.06 is: 818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.12 : 1,433.68 = 545.06 : x
  2. Step 2: Convert to fraction form
    955.12/1,433.68 = 545.06/x
  3. Step 3: Cross multiply
    955.12x = 1,433.68 × 545.06
  4. Step 4: Simplify right side
    955.12x = 781,441.62
  5. Step 5: Solve for x
    x = 781,441.62/955.12
  6. Step 6: Final answer
    x = 818.16

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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.