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Finding the Fourth Proportional to 839.24, 1,159.26 and 699.81

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Solution

The fourth proportional to 839.24, 1,159.26 and 699.81 is: 966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.24 : 1,159.26 = 699.81 : x
  2. Step 2: Convert to fraction form
    839.24/1,159.26 = 699.81/x
  3. Step 3: Cross multiply
    839.24x = 1,159.26 × 699.81
  4. Step 4: Simplify right side
    839.24x = 811,261.74
  5. Step 5: Solve for x
    x = 811,261.74/839.24
  6. Step 6: Final answer
    x = 966.67

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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.