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Finding the Fourth Proportional to 679.55, 1,019.15 and 313.98

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Solution

The fourth proportional to 679.55, 1,019.15 and 313.98 is: 470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.55 : 1,019.15 = 313.98 : x
  2. Step 2: Convert to fraction form
    679.55/1,019.15 = 313.98/x
  3. Step 3: Cross multiply
    679.55x = 1,019.15 × 313.98
  4. Step 4: Simplify right side
    679.55x = 319,997.32
  5. Step 5: Solve for x
    x = 319,997.32/679.55
  6. Step 6: Final answer
    x = 470.90

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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.