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Finding the Fourth Proportional to 596.18, 823.11 and 421.22

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Solution

The fourth proportional to 596.18, 823.11 and 421.22 is: 581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.18 : 823.11 = 421.22 : x
  2. Step 2: Convert to fraction form
    596.18/823.11 = 421.22/x
  3. Step 3: Cross multiply
    596.18x = 823.11 × 421.22
  4. Step 4: Simplify right side
    596.18x = 346,710.39
  5. Step 5: Solve for x
    x = 346,710.39/596.18
  6. Step 6: Final answer
    x = 581.55

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Half scale
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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.