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Finding the Fourth Proportional to 651.85, 978.07 and 378.17

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Solution

The fourth proportional to 651.85, 978.07 and 378.17 is: 567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.85 : 978.07 = 378.17 : x
  2. Step 2: Convert to fraction form
    651.85/978.07 = 378.17/x
  3. Step 3: Cross multiply
    651.85x = 978.07 × 378.17
  4. Step 4: Simplify right side
    651.85x = 369,876.73
  5. Step 5: Solve for x
    x = 369,876.73/651.85
  6. Step 6: Final answer
    x = 567.43

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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.