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Finding the Fourth Proportional to 534.71, 738 and 313.65

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Solution

The fourth proportional to 534.71, 738 and 313.65 is: 432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.71 : 738 = 313.65 : x
  2. Step 2: Convert to fraction form
    534.71/738 = 313.65/x
  3. Step 3: Cross multiply
    534.71x = 738 × 313.65
  4. Step 4: Simplify right side
    534.71x = 231,473.70
  5. Step 5: Solve for x
    x = 231,473.70/534.71
  6. Step 6: Final answer
    x = 432.89

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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.