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Finding the Fourth Proportional to 679.51, 1,018.68 and 314.11

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Solution

The fourth proportional to 679.51, 1,018.68 and 314.11 is: 470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.51 : 1,018.68 = 314.11 : x
  2. Step 2: Convert to fraction form
    679.51/1,018.68 = 314.11/x
  3. Step 3: Cross multiply
    679.51x = 1,018.68 × 314.11
  4. Step 4: Simplify right side
    679.51x = 319,977.57
  5. Step 5: Solve for x
    x = 319,977.57/679.51
  6. Step 6: Final answer
    x = 470.89

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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.