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Finding the Fourth Proportional to 675.41, 932.05 and 380.67

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Solution

The fourth proportional to 675.41, 932.05 and 380.67 is: 525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.41 : 932.05 = 380.67 : x
  2. Step 2: Convert to fraction form
    675.41/932.05 = 380.67/x
  3. Step 3: Cross multiply
    675.41x = 932.05 × 380.67
  4. Step 4: Simplify right side
    675.41x = 354,803.47
  5. Step 5: Solve for x
    x = 354,803.47/675.41
  6. Step 6: Final answer
    x = 525.32

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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.