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Finding the Fourth Proportional to 947.26, 1,421.84 and 712.19

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Solution

The fourth proportional to 947.26, 1,421.84 and 712.19 is: 1,069.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.26 : 1,421.84 = 712.19 : x
  2. Step 2: Convert to fraction form
    947.26/1,421.84 = 712.19/x
  3. Step 3: Cross multiply
    947.26x = 1,421.84 × 712.19
  4. Step 4: Simplify right side
    947.26x = 1,012,620.23
  5. Step 5: Solve for x
    x = 1,012,620.23/947.26
  6. Step 6: Final answer
    x = 1,069.00

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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.