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Finding the Fourth Proportional to 534.84, 738.24 and 313.84

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Solution

The fourth proportional to 534.84, 738.24 and 313.84 is: 433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.84 : 738.24 = 313.84 : x
  2. Step 2: Convert to fraction form
    534.84/738.24 = 313.84/x
  3. Step 3: Cross multiply
    534.84x = 738.24 × 313.84
  4. Step 4: Simplify right side
    534.84x = 231,689.24
  5. Step 5: Solve for x
    x = 231,689.24/534.84
  6. Step 6: Final answer
    x = 433.19

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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.