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Finding the Fourth Proportional to 711.70, 981.80 and 613.29

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Solution

The fourth proportional to 711.70, 981.80 and 613.29 is: 846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.70 : 981.80 = 613.29 : x
  2. Step 2: Convert to fraction form
    711.70/981.80 = 613.29/x
  3. Step 3: Cross multiply
    711.70x = 981.80 × 613.29
  4. Step 4: Simplify right side
    711.70x = 602,120.15
  5. Step 5: Solve for x
    x = 602,120.15/711.70
  6. Step 6: Final answer
    x = 846.03

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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.