Home / 1,315.39-1,972.55-493.24

Finding the Fourth Proportional to 1,315.39, 1,972.55 and 493.24

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Solution

The fourth proportional to 1,315.39, 1,972.55 and 493.24 is: 739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.39 : 1,972.55 = 493.24 : x
  2. Step 2: Convert to fraction form
    1,315.39/1,972.55 = 493.24/x
  3. Step 3: Cross multiply
    1,315.39x = 1,972.55 × 493.24
  4. Step 4: Simplify right side
    1,315.39x = 972,938.10
  5. Step 5: Solve for x
    x = 972,938.10/1,315.39
  6. Step 6: Final answer
    x = 739.66

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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.