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Finding the Fourth Proportional to 677.54, 934.91 and 378.77

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Solution

The fourth proportional to 677.54, 934.91 and 378.77 is: 522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.54 : 934.91 = 378.77 : x
  2. Step 2: Convert to fraction form
    677.54/934.91 = 378.77/x
  3. Step 3: Cross multiply
    677.54x = 934.91 × 378.77
  4. Step 4: Simplify right side
    677.54x = 354,119.14
  5. Step 5: Solve for x
    x = 354,119.14/677.54
  6. Step 6: Final answer
    x = 522.66

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1.5x scale

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.