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Finding the Fourth Proportional to 677.47, 934.96 and 378.74

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Solution

The fourth proportional to 677.47, 934.96 and 378.74 is: 522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.47 : 934.96 = 378.74 : x
  2. Step 2: Convert to fraction form
    677.47/934.96 = 378.74/x
  3. Step 3: Cross multiply
    677.47x = 934.96 × 378.74
  4. Step 4: Simplify right side
    677.47x = 354,108.85
  5. Step 5: Solve for x
    x = 354,108.85/677.47
  6. Step 6: Final answer
    x = 522.69

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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.