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Finding the Fourth Proportional to 675.42, 932.09 and 380.67

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Solution

The fourth proportional to 675.42, 932.09 and 380.67 is: 525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 932.09 = 380.67 : x
  2. Step 2: Convert to fraction form
    675.42/932.09 = 380.67/x
  3. Step 3: Cross multiply
    675.42x = 932.09 × 380.67
  4. Step 4: Simplify right side
    675.42x = 354,816.80
  5. Step 5: Solve for x
    x = 354,816.80/675.42
  6. Step 6: Final answer
    x = 525.33

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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.