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Finding the Fourth Proportional to 1,974.53, 2,961.81 and 493.76

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Solution

The fourth proportional to 1,974.53, 2,961.81 and 493.76 is: 740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.53 : 2,961.81 = 493.76 : x
  2. Step 2: Convert to fraction form
    1,974.53/2,961.81 = 493.76/x
  3. Step 3: Cross multiply
    1,974.53x = 2,961.81 × 493.76
  4. Step 4: Simplify right side
    1,974.53x = 1,462,430.71
  5. Step 5: Solve for x
    x = 1,462,430.71/1,974.53
  6. Step 6: Final answer
    x = 740.65

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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.