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Finding the Fourth Proportional to 610.76, 842.22 and 461.72

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Solution

The fourth proportional to 610.76, 842.22 and 461.72 is: 636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.76 : 842.22 = 461.72 : x
  2. Step 2: Convert to fraction form
    610.76/842.22 = 461.72/x
  3. Step 3: Cross multiply
    610.76x = 842.22 × 461.72
  4. Step 4: Simplify right side
    610.76x = 388,871.92
  5. Step 5: Solve for x
    x = 388,871.92/610.76
  6. Step 6: Final answer
    x = 636.70

Related Problems

Find fourth proportional to 305.38, 421.11 and 230.86
Half scale
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Double scale
Find fourth proportional to 611.76, 843.60 and 462.72
Similar ratio
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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.