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Finding the Fourth Proportional to 723.45, 998.29 and 534.50

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Solution

The fourth proportional to 723.45, 998.29 and 534.50 is: 737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.45 : 998.29 = 534.50 : x
  2. Step 2: Convert to fraction form
    723.45/998.29 = 534.50/x
  3. Step 3: Cross multiply
    723.45x = 998.29 × 534.50
  4. Step 4: Simplify right side
    723.45x = 533,578.34
  5. Step 5: Solve for x
    x = 533,578.34/723.45
  6. Step 6: Final answer
    x = 737.55

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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.