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Finding the Fourth Proportional to 610.10, 909.39 and 605.31

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Solution

The fourth proportional to 610.10, 909.39 and 605.31 is: 902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.10 : 909.39 = 605.31 : x
  2. Step 2: Convert to fraction form
    610.10/909.39 = 605.31/x
  3. Step 3: Cross multiply
    610.10x = 909.39 × 605.31
  4. Step 4: Simplify right side
    610.10x = 550,462.86
  5. Step 5: Solve for x
    x = 550,462.86/610.10
  6. Step 6: Final answer
    x = 902.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.