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Finding the Fourth Proportional to 1,315.13, 1,972.69 and 738.05

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Solution

The fourth proportional to 1,315.13, 1,972.69 and 738.05 is: 1,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.13 : 1,972.69 = 738.05 : x
  2. Step 2: Convert to fraction form
    1,315.13/1,972.69 = 738.05/x
  3. Step 3: Cross multiply
    1,315.13x = 1,972.69 × 738.05
  4. Step 4: Simplify right side
    1,315.13x = 1,455,943.85
  5. Step 5: Solve for x
    x = 1,455,943.85/1,315.13
  6. Step 6: Final answer
    x = 1,107.07

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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.