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Finding the Fourth Proportional to 535.01, 738.11 and 313.79

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Solution

The fourth proportional to 535.01, 738.11 and 313.79 is: 432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.01 : 738.11 = 313.79 : x
  2. Step 2: Convert to fraction form
    535.01/738.11 = 313.79/x
  3. Step 3: Cross multiply
    535.01x = 738.11 × 313.79
  4. Step 4: Simplify right side
    535.01x = 231,614.17
  5. Step 5: Solve for x
    x = 231,614.17/535.01
  6. Step 6: Final answer
    x = 432.92

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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.