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Finding the Fourth Proportional to 947.61, 1,419.17 and 459.09

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Solution

The fourth proportional to 947.61, 1,419.17 and 459.09 is: 687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.61 : 1,419.17 = 459.09 : x
  2. Step 2: Convert to fraction form
    947.61/1,419.17 = 459.09/x
  3. Step 3: Cross multiply
    947.61x = 1,419.17 × 459.09
  4. Step 4: Simplify right side
    947.61x = 651,524.46
  5. Step 5: Solve for x
    x = 651,524.46/947.61
  6. Step 6: Final answer
    x = 687.54

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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.