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Finding the Fourth Proportional to 590.76, 815.37 and 422.96

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Solution

The fourth proportional to 590.76, 815.37 and 422.96 is: 583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.76 : 815.37 = 422.96 : x
  2. Step 2: Convert to fraction form
    590.76/815.37 = 422.96/x
  3. Step 3: Cross multiply
    590.76x = 815.37 × 422.96
  4. Step 4: Simplify right side
    590.76x = 344,863.23
  5. Step 5: Solve for x
    x = 344,863.23/590.76
  6. Step 6: Final answer
    x = 583.76

Related Problems

Find fourth proportional to 295.38, 407.68 and 211.48
Half scale
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Double scale
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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.