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Finding the Fourth Proportional to 711.79, 1,070.75 and 674.87

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Solution

The fourth proportional to 711.79, 1,070.75 and 674.87 is: 1,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.79 : 1,070.75 = 674.87 : x
  2. Step 2: Convert to fraction form
    711.79/1,070.75 = 674.87/x
  3. Step 3: Cross multiply
    711.79x = 1,070.75 × 674.87
  4. Step 4: Simplify right side
    711.79x = 722,613.39
  5. Step 5: Solve for x
    x = 722,613.39/711.79
  6. Step 6: Final answer
    x = 1,015.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.