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Finding the Fourth Proportional to 605.50, 907.78 and 410.02

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Solution

The fourth proportional to 605.50, 907.78 and 410.02 is: 614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.50 : 907.78 = 410.02 : x
  2. Step 2: Convert to fraction form
    605.50/907.78 = 410.02/x
  3. Step 3: Cross multiply
    605.50x = 907.78 × 410.02
  4. Step 4: Simplify right side
    605.50x = 372,207.96
  5. Step 5: Solve for x
    x = 372,207.96/605.50
  6. Step 6: Final answer
    x = 614.71

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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.