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Finding the Fourth Proportional to 677.10, 934.30 and 378.31

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Solution

The fourth proportional to 677.10, 934.30 and 378.31 is: 522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.10 : 934.30 = 378.31 : x
  2. Step 2: Convert to fraction form
    677.10/934.30 = 378.31/x
  3. Step 3: Cross multiply
    677.10x = 934.30 × 378.31
  4. Step 4: Simplify right side
    677.10x = 353,449.92
  5. Step 5: Solve for x
    x = 353,449.92/677.10
  6. Step 6: Final answer
    x = 522.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.