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Finding the Fourth Proportional to 515.82, 712.09 and 422.77

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Solution

The fourth proportional to 515.82, 712.09 and 422.77 is: 583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.82 : 712.09 = 422.77 : x
  2. Step 2: Convert to fraction form
    515.82/712.09 = 422.77/x
  3. Step 3: Cross multiply
    515.82x = 712.09 × 422.77
  4. Step 4: Simplify right side
    515.82x = 301,050.37
  5. Step 5: Solve for x
    x = 301,050.37/515.82
  6. Step 6: Final answer
    x = 583.64

Related Problems

Find fourth proportional to 257.91, 356.05 and 211.38
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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.