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Finding the Fourth Proportional to 610.14, 919.29 and 552.44

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Solution

The fourth proportional to 610.14, 919.29 and 552.44 is: 832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.14 : 919.29 = 552.44 : x
  2. Step 2: Convert to fraction form
    610.14/919.29 = 552.44/x
  3. Step 3: Cross multiply
    610.14x = 919.29 × 552.44
  4. Step 4: Simplify right side
    610.14x = 507,847.97
  5. Step 5: Solve for x
    x = 507,847.97/610.14
  6. Step 6: Final answer
    x = 832.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.