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Finding the Fourth Proportional to 1,315.74, 1,972.99 and 493.42

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Solution

The fourth proportional to 1,315.74, 1,972.99 and 493.42 is: 739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.74 : 1,972.99 = 493.42 : x
  2. Step 2: Convert to fraction form
    1,315.74/1,972.99 = 493.42/x
  3. Step 3: Cross multiply
    1,315.74x = 1,972.99 × 493.42
  4. Step 4: Simplify right side
    1,315.74x = 973,512.73
  5. Step 5: Solve for x
    x = 973,512.73/1,315.74
  6. Step 6: Final answer
    x = 739.90

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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.