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Finding the Fourth Proportional to 839.30, 1,157.33 and 706.49

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Solution

The fourth proportional to 839.30, 1,157.33 and 706.49 is: 974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.30 : 1,157.33 = 706.49 : x
  2. Step 2: Convert to fraction form
    839.30/1,157.33 = 706.49/x
  3. Step 3: Cross multiply
    839.30x = 1,157.33 × 706.49
  4. Step 4: Simplify right side
    839.30x = 817,632.75
  5. Step 5: Solve for x
    x = 817,632.75/839.30
  6. Step 6: Final answer
    x = 974.19

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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.