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Finding the Fourth Proportional to 1,287.56, 1,931.31 and 313.65

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Solution

The fourth proportional to 1,287.56, 1,931.31 and 313.65 is: 470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.56 : 1,931.31 = 313.65 : x
  2. Step 2: Convert to fraction form
    1,287.56/1,931.31 = 313.65/x
  3. Step 3: Cross multiply
    1,287.56x = 1,931.31 × 313.65
  4. Step 4: Simplify right side
    1,287.56x = 605,755.38
  5. Step 5: Solve for x
    x = 605,755.38/1,287.56
  6. Step 6: Final answer
    x = 470.47

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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.