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Finding the Fourth Proportional to 1,315.63, 1,974.47 and 494.65

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Solution

The fourth proportional to 1,315.63, 1,974.47 and 494.65 is: 742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.63 : 1,974.47 = 494.65 : x
  2. Step 2: Convert to fraction form
    1,315.63/1,974.47 = 494.65/x
  3. Step 3: Cross multiply
    1,315.63x = 1,974.47 × 494.65
  4. Step 4: Simplify right side
    1,315.63x = 976,671.59
  5. Step 5: Solve for x
    x = 976,671.59/1,315.63
  6. Step 6: Final answer
    x = 742.36

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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.