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Finding the Fourth Proportional to 682.19, 1,023.71 and 311.93

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Solution

The fourth proportional to 682.19, 1,023.71 and 311.93 is: 468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.19 : 1,023.71 = 311.93 : x
  2. Step 2: Convert to fraction form
    682.19/1,023.71 = 311.93/x
  3. Step 3: Cross multiply
    682.19x = 1,023.71 × 311.93
  4. Step 4: Simplify right side
    682.19x = 319,329.66
  5. Step 5: Solve for x
    x = 319,329.66/682.19
  6. Step 6: Final answer
    x = 468.10

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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.