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Finding the Fourth Proportional to 598.87, 896.68 and 309.70

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Solution

The fourth proportional to 598.87, 896.68 and 309.70 is: 463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.87 : 896.68 = 309.70 : x
  2. Step 2: Convert to fraction form
    598.87/896.68 = 309.70/x
  3. Step 3: Cross multiply
    598.87x = 896.68 × 309.70
  4. Step 4: Simplify right side
    598.87x = 277,701.80
  5. Step 5: Solve for x
    x = 277,701.80/598.87
  6. Step 6: Final answer
    x = 463.71

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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.