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Finding the Fourth Proportional to 598.38, 896.55 and 414.91

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Solution

The fourth proportional to 598.38, 896.55 and 414.91 is: 621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.38 : 896.55 = 414.91 : x
  2. Step 2: Convert to fraction form
    598.38/896.55 = 414.91/x
  3. Step 3: Cross multiply
    598.38x = 896.55 × 414.91
  4. Step 4: Simplify right side
    598.38x = 371,987.56
  5. Step 5: Solve for x
    x = 371,987.56/598.38
  6. Step 6: Final answer
    x = 621.66

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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.