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Finding the Fourth Proportional to 1,316.79, 1,974.78 and 494.91

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Solution

The fourth proportional to 1,316.79, 1,974.78 and 494.91 is: 742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.79 : 1,974.78 = 494.91 : x
  2. Step 2: Convert to fraction form
    1,316.79/1,974.78 = 494.91/x
  3. Step 3: Cross multiply
    1,316.79x = 1,974.78 × 494.91
  4. Step 4: Simplify right side
    1,316.79x = 977,338.37
  5. Step 5: Solve for x
    x = 977,338.37/1,316.79
  6. Step 6: Final answer
    x = 742.21

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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.