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Finding the Fourth Proportional to 598.64, 898.24 and 309.92

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Solution

The fourth proportional to 598.64, 898.24 and 309.92 is: 465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.64 : 898.24 = 309.92 : x
  2. Step 2: Convert to fraction form
    598.64/898.24 = 309.92/x
  3. Step 3: Cross multiply
    598.64x = 898.24 × 309.92
  4. Step 4: Simplify right side
    598.64x = 278,382.54
  5. Step 5: Solve for x
    x = 278,382.54/598.64
  6. Step 6: Final answer
    x = 465.02

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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.