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Finding the Fourth Proportional to 610.08, 842.30 and 423.51

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Solution

The fourth proportional to 610.08, 842.30 and 423.51 is: 584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.08 : 842.30 = 423.51 : x
  2. Step 2: Convert to fraction form
    610.08/842.30 = 423.51/x
  3. Step 3: Cross multiply
    610.08x = 842.30 × 423.51
  4. Step 4: Simplify right side
    610.08x = 356,720.36
  5. Step 5: Solve for x
    x = 356,720.36/610.08
  6. Step 6: Final answer
    x = 584.71

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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.