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Finding the Fourth Proportional to 947.34, 1,306.96 and 699.25

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Solution

The fourth proportional to 947.34, 1,306.96 and 699.25 is: 964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.34 : 1,306.96 = 699.25 : x
  2. Step 2: Convert to fraction form
    947.34/1,306.96 = 699.25/x
  3. Step 3: Cross multiply
    947.34x = 1,306.96 × 699.25
  4. Step 4: Simplify right side
    947.34x = 913,891.78
  5. Step 5: Solve for x
    x = 913,891.78/947.34
  6. Step 6: Final answer
    x = 964.69

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.