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Finding the Fourth Proportional to 677.12, 934.36 and 378.36

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Solution

The fourth proportional to 677.12, 934.36 and 378.36 is: 522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.12 : 934.36 = 378.36 : x
  2. Step 2: Convert to fraction form
    677.12/934.36 = 378.36/x
  3. Step 3: Cross multiply
    677.12x = 934.36 × 378.36
  4. Step 4: Simplify right side
    677.12x = 353,523.50
  5. Step 5: Solve for x
    x = 353,523.50/677.12
  6. Step 6: Final answer
    x = 522.10

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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.