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Finding the Fourth Proportional to 679.61, 1,017.99 and 314.71

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Solution

The fourth proportional to 679.61, 1,017.99 and 314.71 is: 471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.61 : 1,017.99 = 314.71 : x
  2. Step 2: Convert to fraction form
    679.61/1,017.99 = 314.71/x
  3. Step 3: Cross multiply
    679.61x = 1,017.99 × 314.71
  4. Step 4: Simplify right side
    679.61x = 320,369.09
  5. Step 5: Solve for x
    x = 320,369.09/679.61
  6. Step 6: Final answer
    x = 471.40

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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.