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Finding the Fourth Proportional to 947.15, 1,419.09 and 514.61

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Solution

The fourth proportional to 947.15, 1,419.09 and 514.61 is: 771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.15 : 1,419.09 = 514.61 : x
  2. Step 2: Convert to fraction form
    947.15/1,419.09 = 514.61/x
  3. Step 3: Cross multiply
    947.15x = 1,419.09 × 514.61
  4. Step 4: Simplify right side
    947.15x = 730,270.81
  5. Step 5: Solve for x
    x = 730,270.81/947.15
  6. Step 6: Final answer
    x = 771.02

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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.