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Finding the Fourth Proportional to 596.38, 822.94 and 347.53

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Solution

The fourth proportional to 596.38, 822.94 and 347.53 is: 479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.38 : 822.94 = 347.53 : x
  2. Step 2: Convert to fraction form
    596.38/822.94 = 347.53/x
  3. Step 3: Cross multiply
    596.38x = 822.94 × 347.53
  4. Step 4: Simplify right side
    596.38x = 285,996.12
  5. Step 5: Solve for x
    x = 285,996.12/596.38
  6. Step 6: Final answer
    x = 479.55

Related Problems

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Half scale
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Double scale
Find fourth proportional to 597.38, 824.32 and 348.53
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.