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Finding the Fourth Proportional to 596.78, 823.15 and 420.12

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Solution

The fourth proportional to 596.78, 823.15 and 420.12 is: 579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.78 : 823.15 = 420.12 : x
  2. Step 2: Convert to fraction form
    596.78/823.15 = 420.12/x
  3. Step 3: Cross multiply
    596.78x = 823.15 × 420.12
  4. Step 4: Simplify right side
    596.78x = 345,815.56
  5. Step 5: Solve for x
    x = 345,815.56/596.78
  6. Step 6: Final answer
    x = 579.47

Related Problems

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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.