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Finding the Fourth Proportional to 605.34, 907.61 and 398.59

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Solution

The fourth proportional to 605.34, 907.61 and 398.59 is: 597.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.34 : 907.61 = 398.59 : x
  2. Step 2: Convert to fraction form
    605.34/907.61 = 398.59/x
  3. Step 3: Cross multiply
    605.34x = 907.61 × 398.59
  4. Step 4: Simplify right side
    605.34x = 361,760.01
  5. Step 5: Solve for x
    x = 361,760.01/605.34
  6. Step 6: Final answer
    x = 597.61

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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.