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Finding the Fourth Proportional to 596.19, 822.74 and 334.29

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Solution

The fourth proportional to 596.19, 822.74 and 334.29 is: 461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.19 : 822.74 = 334.29 : x
  2. Step 2: Convert to fraction form
    596.19/822.74 = 334.29/x
  3. Step 3: Cross multiply
    596.19x = 822.74 × 334.29
  4. Step 4: Simplify right side
    596.19x = 275,033.75
  5. Step 5: Solve for x
    x = 275,033.75/596.19
  6. Step 6: Final answer
    x = 461.32

Related Problems

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Half scale
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Double scale
Find fourth proportional to 597.19, 824.12 and 335.29
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.