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Finding the Fourth Proportional to 610.76, 842.69 and 362.14

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Solution

The fourth proportional to 610.76, 842.69 and 362.14 is: 499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.76 : 842.69 = 362.14 : x
  2. Step 2: Convert to fraction form
    610.76/842.69 = 362.14/x
  3. Step 3: Cross multiply
    610.76x = 842.69 × 362.14
  4. Step 4: Simplify right side
    610.76x = 305,170.56
  5. Step 5: Solve for x
    x = 305,170.56/610.76
  6. Step 6: Final answer
    x = 499.66

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Find fourth proportional to 305.38, 421.35 and 181.07
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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.