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Finding the Fourth Proportional to 715.84, 1,065.81 and 711.79

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Solution

The fourth proportional to 715.84, 1,065.81 and 711.79 is: 1,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.84 : 1,065.81 = 711.79 : x
  2. Step 2: Convert to fraction form
    715.84/1,065.81 = 711.79/x
  3. Step 3: Cross multiply
    715.84x = 1,065.81 × 711.79
  4. Step 4: Simplify right side
    715.84x = 758,628.90
  5. Step 5: Solve for x
    x = 758,628.90/715.84
  6. Step 6: Final answer
    x = 1,059.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.