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Finding the Fourth Proportional to 594.76, 820.74 and 329.20

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Solution

The fourth proportional to 594.76, 820.74 and 329.20 is: 454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.76 : 820.74 = 329.20 : x
  2. Step 2: Convert to fraction form
    594.76/820.74 = 329.20/x
  3. Step 3: Cross multiply
    594.76x = 820.74 × 329.20
  4. Step 4: Simplify right side
    594.76x = 270,187.61
  5. Step 5: Solve for x
    x = 270,187.61/594.76
  6. Step 6: Final answer
    x = 454.28

Related Problems

Find fourth proportional to 297.38, 410.37 and 164.60
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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.