Home / 1,315.25-1,973.21-493.53

Finding the Fourth Proportional to 1,315.25, 1,973.21 and 493.53

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Solution

The fourth proportional to 1,315.25, 1,973.21 and 493.53 is: 740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.25 : 1,973.21 = 493.53 : x
  2. Step 2: Convert to fraction form
    1,315.25/1,973.21 = 493.53/x
  3. Step 3: Cross multiply
    1,315.25x = 1,973.21 × 493.53
  4. Step 4: Simplify right side
    1,315.25x = 973,839.57
  5. Step 5: Solve for x
    x = 973,839.57/1,315.25
  6. Step 6: Final answer
    x = 740.42

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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.