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Finding the Fourth Proportional to 598.50, 897.90 and 213.78

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Solution

The fourth proportional to 598.50, 897.90 and 213.78 is: 320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.50 : 897.90 = 213.78 : x
  2. Step 2: Convert to fraction form
    598.50/897.90 = 213.78/x
  3. Step 3: Cross multiply
    598.50x = 897.90 × 213.78
  4. Step 4: Simplify right side
    598.50x = 191,953.06
  5. Step 5: Solve for x
    x = 191,953.06/598.50
  6. Step 6: Final answer
    x = 320.72

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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.