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Finding the Fourth Proportional to 610.74, 842.61 and 403.38

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Solution

The fourth proportional to 610.74, 842.61 and 403.38 is: 556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.74 : 842.61 = 403.38 : x
  2. Step 2: Convert to fraction form
    610.74/842.61 = 403.38/x
  3. Step 3: Cross multiply
    610.74x = 842.61 × 403.38
  4. Step 4: Simplify right side
    610.74x = 339,892.02
  5. Step 5: Solve for x
    x = 339,892.02/610.74
  6. Step 6: Final answer
    x = 556.52

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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.