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Finding the Fourth Proportional to 578.76, 798.84 and 330.21

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Solution

The fourth proportional to 578.76, 798.84 and 330.21 is: 455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.76 : 798.84 = 330.21 : x
  2. Step 2: Convert to fraction form
    578.76/798.84 = 330.21/x
  3. Step 3: Cross multiply
    578.76x = 798.84 × 330.21
  4. Step 4: Simplify right side
    578.76x = 263,784.96
  5. Step 5: Solve for x
    x = 263,784.96/578.76
  6. Step 6: Final answer
    x = 455.78

Related Problems

Find fourth proportional to 289.38, 399.42 and 165.11
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.