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Finding the Fourth Proportional to 598.25, 895.75 and 309.08

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Solution

The fourth proportional to 598.25, 895.75 and 309.08 is: 462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.25 : 895.75 = 309.08 : x
  2. Step 2: Convert to fraction form
    598.25/895.75 = 309.08/x
  3. Step 3: Cross multiply
    598.25x = 895.75 × 309.08
  4. Step 4: Simplify right side
    598.25x = 276,859.88
  5. Step 5: Solve for x
    x = 276,859.88/598.25
  6. Step 6: Final answer
    x = 462.78

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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.