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Finding the Fourth Proportional to 684.52, 942.18 and 610.28

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Solution

The fourth proportional to 684.52, 942.18 and 610.28 is: 840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.52 : 942.18 = 610.28 : x
  2. Step 2: Convert to fraction form
    684.52/942.18 = 610.28/x
  3. Step 3: Cross multiply
    684.52x = 942.18 × 610.28
  4. Step 4: Simplify right side
    684.52x = 574,993.61
  5. Step 5: Solve for x
    x = 574,993.61/684.52
  6. Step 6: Final answer
    x = 840.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.