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Finding the Fourth Proportional to 610.15, 912.93 and 405.22

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Solution

The fourth proportional to 610.15, 912.93 and 405.22 is: 606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.15 : 912.93 = 405.22 : x
  2. Step 2: Convert to fraction form
    610.15/912.93 = 405.22/x
  3. Step 3: Cross multiply
    610.15x = 912.93 × 405.22
  4. Step 4: Simplify right side
    610.15x = 369,937.49
  5. Step 5: Solve for x
    x = 369,937.49/610.15
  6. Step 6: Final answer
    x = 606.31

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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.