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Finding the Fourth Proportional to 947.06, 1,306.33 and 611.39

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Solution

The fourth proportional to 947.06, 1,306.33 and 611.39 is: 843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.06 : 1,306.33 = 611.39 : x
  2. Step 2: Convert to fraction form
    947.06/1,306.33 = 611.39/x
  3. Step 3: Cross multiply
    947.06x = 1,306.33 × 611.39
  4. Step 4: Simplify right side
    947.06x = 798,670.67
  5. Step 5: Solve for x
    x = 798,670.67/947.06
  6. Step 6: Final answer
    x = 843.32

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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.