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Finding the Fourth Proportional to 610.75, 842.63 and 362.15

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Solution

The fourth proportional to 610.75, 842.63 and 362.15 is: 499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.75 : 842.63 = 362.15 : x
  2. Step 2: Convert to fraction form
    610.75/842.63 = 362.15/x
  3. Step 3: Cross multiply
    610.75x = 842.63 × 362.15
  4. Step 4: Simplify right side
    610.75x = 305,157.25
  5. Step 5: Solve for x
    x = 305,157.25/610.75
  6. Step 6: Final answer
    x = 499.64

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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.