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Finding the Fourth Proportional to 596.76, 822.52 and 419.78

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Solution

The fourth proportional to 596.76, 822.52 and 419.78 is: 578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.76 : 822.52 = 419.78 : x
  2. Step 2: Convert to fraction form
    596.76/822.52 = 419.78/x
  3. Step 3: Cross multiply
    596.76x = 822.52 × 419.78
  4. Step 4: Simplify right side
    596.76x = 345,277.45
  5. Step 5: Solve for x
    x = 345,277.45/596.76
  6. Step 6: Final answer
    x = 578.59

Related Problems

Find fourth proportional to 298.38, 411.26 and 209.89
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.