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Finding the Fourth Proportional to 610.77, 842.66 and 362.19

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Solution

The fourth proportional to 610.77, 842.66 and 362.19 is: 499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.77 : 842.66 = 362.19 : x
  2. Step 2: Convert to fraction form
    610.77/842.66 = 362.19/x
  3. Step 3: Cross multiply
    610.77x = 842.66 × 362.19
  4. Step 4: Simplify right side
    610.77x = 305,201.21
  5. Step 5: Solve for x
    x = 305,201.21/610.77
  6. Step 6: Final answer
    x = 499.70

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Double scale
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1.5x scale

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.