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Finding the Fourth Proportional to 678.86, 1,017.84 and 288.85

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Solution

The fourth proportional to 678.86, 1,017.84 and 288.85 is: 433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.86 : 1,017.84 = 288.85 : x
  2. Step 2: Convert to fraction form
    678.86/1,017.84 = 288.85/x
  3. Step 3: Cross multiply
    678.86x = 1,017.84 × 288.85
  4. Step 4: Simplify right side
    678.86x = 294,000.54
  5. Step 5: Solve for x
    x = 294,000.54/678.86
  6. Step 6: Final answer
    x = 433.08

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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.