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Finding the Fourth Proportional to 535.46, 738.14 and 387.86

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Solution

The fourth proportional to 535.46, 738.14 and 387.86 is: 534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.46 : 738.14 = 387.86 : x
  2. Step 2: Convert to fraction form
    535.46/738.14 = 387.86/x
  3. Step 3: Cross multiply
    535.46x = 738.14 × 387.86
  4. Step 4: Simplify right side
    535.46x = 286,294.98
  5. Step 5: Solve for x
    x = 286,294.98/535.46
  6. Step 6: Final answer
    x = 534.67

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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.