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Finding the Fourth Proportional to 599.69, 898.17 and 491.25

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Solution

The fourth proportional to 599.69, 898.17 and 491.25 is: 735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.69 : 898.17 = 491.25 : x
  2. Step 2: Convert to fraction form
    599.69/898.17 = 491.25/x
  3. Step 3: Cross multiply
    599.69x = 898.17 × 491.25
  4. Step 4: Simplify right side
    599.69x = 441,226.01
  5. Step 5: Solve for x
    x = 441,226.01/599.69
  6. Step 6: Final answer
    x = 735.76

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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.