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Finding the Fourth Proportional to 1,240.64, 1,711.71 and 709.50

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Solution

The fourth proportional to 1,240.64, 1,711.71 and 709.50 is: 978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.64 : 1,711.71 = 709.50 : x
  2. Step 2: Convert to fraction form
    1,240.64/1,711.71 = 709.50/x
  3. Step 3: Cross multiply
    1,240.64x = 1,711.71 × 709.50
  4. Step 4: Simplify right side
    1,240.64x = 1,214,458.25
  5. Step 5: Solve for x
    x = 1,214,458.25/1,240.64
  6. Step 6: Final answer
    x = 978.90

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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.