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Finding the Fourth Proportional to 724.38, 1,086.70 and 339.63

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Solution

The fourth proportional to 724.38, 1,086.70 and 339.63 is: 509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.38 : 1,086.70 = 339.63 : x
  2. Step 2: Convert to fraction form
    724.38/1,086.70 = 339.63/x
  3. Step 3: Cross multiply
    724.38x = 1,086.70 × 339.63
  4. Step 4: Simplify right side
    724.38x = 369,075.92
  5. Step 5: Solve for x
    x = 369,075.92/724.38
  6. Step 6: Final answer
    x = 509.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.