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Finding the Fourth Proportional to 1,240.35, 1,711.73 and 709.32

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Solution

The fourth proportional to 1,240.35, 1,711.73 and 709.32 is: 978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.35 : 1,711.73 = 709.32 : x
  2. Step 2: Convert to fraction form
    1,240.35/1,711.73 = 709.32/x
  3. Step 3: Cross multiply
    1,240.35x = 1,711.73 × 709.32
  4. Step 4: Simplify right side
    1,240.35x = 1,214,152.22
  5. Step 5: Solve for x
    x = 1,214,152.22/1,240.35
  6. Step 6: Final answer
    x = 978.88

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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.