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Finding the Fourth Proportional to 596.84, 823.02 and 386.78

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Solution

The fourth proportional to 596.84, 823.02 and 386.78 is: 533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.84 : 823.02 = 386.78 : x
  2. Step 2: Convert to fraction form
    596.84/823.02 = 386.78/x
  3. Step 3: Cross multiply
    596.84x = 823.02 × 386.78
  4. Step 4: Simplify right side
    596.84x = 318,327.68
  5. Step 5: Solve for x
    x = 318,327.68/596.84
  6. Step 6: Final answer
    x = 533.36

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.