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Finding the Fourth Proportional to 1,310.24, 1,965.65 and 726.10

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Solution

The fourth proportional to 1,310.24, 1,965.65 and 726.10 is: 1,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.24 : 1,965.65 = 726.10 : x
  2. Step 2: Convert to fraction form
    1,310.24/1,965.65 = 726.10/x
  3. Step 3: Cross multiply
    1,310.24x = 1,965.65 × 726.10
  4. Step 4: Simplify right side
    1,310.24x = 1,427,258.47
  5. Step 5: Solve for x
    x = 1,427,258.47/1,310.24
  6. Step 6: Final answer
    x = 1,089.31

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1.5x scale

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.