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Finding the Fourth Proportional to 580.06, 799.80 and 422.76

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Solution

The fourth proportional to 580.06, 799.80 and 422.76 is: 582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.06 : 799.80 = 422.76 : x
  2. Step 2: Convert to fraction form
    580.06/799.80 = 422.76/x
  3. Step 3: Cross multiply
    580.06x = 799.80 × 422.76
  4. Step 4: Simplify right side
    580.06x = 338,123.45
  5. Step 5: Solve for x
    x = 338,123.45/580.06
  6. Step 6: Final answer
    x = 582.91

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Find fourth proportional to 290.03, 399.90 and 211.38
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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.