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Finding the Fourth Proportional to 599.40, 898.26 and 534.32

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Solution

The fourth proportional to 599.40, 898.26 and 534.32 is: 800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.40 : 898.26 = 534.32 : x
  2. Step 2: Convert to fraction form
    599.40/898.26 = 534.32/x
  3. Step 3: Cross multiply
    599.40x = 898.26 × 534.32
  4. Step 4: Simplify right side
    599.40x = 479,958.28
  5. Step 5: Solve for x
    x = 479,958.28/599.40
  6. Step 6: Final answer
    x = 800.73

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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.