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Finding the Fourth Proportional to 947.42, 1,306.91 and 606.10

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Solution

The fourth proportional to 947.42, 1,306.91 and 606.10 is: 836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.42 : 1,306.91 = 606.10 : x
  2. Step 2: Convert to fraction form
    947.42/1,306.91 = 606.10/x
  3. Step 3: Cross multiply
    947.42x = 1,306.91 × 606.10
  4. Step 4: Simplify right side
    947.42x = 792,118.15
  5. Step 5: Solve for x
    x = 792,118.15/947.42
  6. Step 6: Final answer
    x = 836.08

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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.