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Finding the Fourth Proportional to 678.44, 1,017.66 and 312.92

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Solution

The fourth proportional to 678.44, 1,017.66 and 312.92 is: 469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.44 : 1,017.66 = 312.92 : x
  2. Step 2: Convert to fraction form
    678.44/1,017.66 = 312.92/x
  3. Step 3: Cross multiply
    678.44x = 1,017.66 × 312.92
  4. Step 4: Simplify right side
    678.44x = 318,446.17
  5. Step 5: Solve for x
    x = 318,446.17/678.44
  6. Step 6: Final answer
    x = 469.38

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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.