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Finding the Fourth Proportional to 610.65, 842.68 and 348.66

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Solution

The fourth proportional to 610.65, 842.68 and 348.66 is: 481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.65 : 842.68 = 348.66 : x
  2. Step 2: Convert to fraction form
    610.65/842.68 = 348.66/x
  3. Step 3: Cross multiply
    610.65x = 842.68 × 348.66
  4. Step 4: Simplify right side
    610.65x = 293,807.94
  5. Step 5: Solve for x
    x = 293,807.94/610.65
  6. Step 6: Final answer
    x = 481.14

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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.