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Finding the Fourth Proportional to 947.38, 1,421.07 and 561.46

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Solution

The fourth proportional to 947.38, 1,421.07 and 561.46 is: 842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.38 : 1,421.07 = 561.46 : x
  2. Step 2: Convert to fraction form
    947.38/1,421.07 = 561.46/x
  3. Step 3: Cross multiply
    947.38x = 1,421.07 × 561.46
  4. Step 4: Simplify right side
    947.38x = 797,873.96
  5. Step 5: Solve for x
    x = 797,873.96/947.38
  6. Step 6: Final answer
    x = 842.19

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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.