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Finding the Fourth Proportional to 1,313.40, 1,969.49 and 765.74

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Solution

The fourth proportional to 1,313.40, 1,969.49 and 765.74 is: 1,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.40 : 1,969.49 = 765.74 : x
  2. Step 2: Convert to fraction form
    1,313.40/1,969.49 = 765.74/x
  3. Step 3: Cross multiply
    1,313.40x = 1,969.49 × 765.74
  4. Step 4: Simplify right side
    1,313.40x = 1,508,124.11
  5. Step 5: Solve for x
    x = 1,508,124.11/1,313.40
  6. Step 6: Final answer
    x = 1,148.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.