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Finding the Fourth Proportional to 599.79, 898.25 and 342.75

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Solution

The fourth proportional to 599.79, 898.25 and 342.75 is: 513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.79 : 898.25 = 342.75 : x
  2. Step 2: Convert to fraction form
    599.79/898.25 = 342.75/x
  3. Step 3: Cross multiply
    599.79x = 898.25 × 342.75
  4. Step 4: Simplify right side
    599.79x = 307,873.47
  5. Step 5: Solve for x
    x = 307,873.47/599.79
  6. Step 6: Final answer
    x = 513.30

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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.