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Finding the Fourth Proportional to 1,240, 1,711.32 and 774.16

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Solution

The fourth proportional to 1,240, 1,711.32 and 774.16 is: 1,068.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240 : 1,711.32 = 774.16 : x
  2. Step 2: Convert to fraction form
    1,240/1,711.32 = 774.16/x
  3. Step 3: Cross multiply
    1,240x = 1,711.32 × 774.16
  4. Step 4: Simplify right side
    1,240x = 1,324,835.49
  5. Step 5: Solve for x
    x = 1,324,835.49/1,240
  6. Step 6: Final answer
    x = 1,068.42

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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.