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Finding the Fourth Proportional to 1,240.39, 1,711.89 and 709.47

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Solution

The fourth proportional to 1,240.39, 1,711.89 and 709.47 is: 979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.39 : 1,711.89 = 709.47 : x
  2. Step 2: Convert to fraction form
    1,240.39/1,711.89 = 709.47/x
  3. Step 3: Cross multiply
    1,240.39x = 1,711.89 × 709.47
  4. Step 4: Simplify right side
    1,240.39x = 1,214,526.04
  5. Step 5: Solve for x
    x = 1,214,526.04/1,240.39
  6. Step 6: Final answer
    x = 979.15

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1.5x scale

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.