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Finding the Fourth Proportional to 1,315.69, 1,972.96 and 493.39

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Solution

The fourth proportional to 1,315.69, 1,972.96 and 493.39 is: 739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.69 : 1,972.96 = 493.39 : x
  2. Step 2: Convert to fraction form
    1,315.69/1,972.96 = 493.39/x
  3. Step 3: Cross multiply
    1,315.69x = 1,972.96 × 493.39
  4. Step 4: Simplify right side
    1,315.69x = 973,438.73
  5. Step 5: Solve for x
    x = 973,438.73/1,315.69
  6. Step 6: Final answer
    x = 739.87

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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.