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Finding the Fourth Proportional to 594.92, 821.31 and 398.63

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Solution

The fourth proportional to 594.92, 821.31 and 398.63 is: 550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.92 : 821.31 = 398.63 : x
  2. Step 2: Convert to fraction form
    594.92/821.31 = 398.63/x
  3. Step 3: Cross multiply
    594.92x = 821.31 × 398.63
  4. Step 4: Simplify right side
    594.92x = 327,398.81
  5. Step 5: Solve for x
    x = 327,398.81/594.92
  6. Step 6: Final answer
    x = 550.32

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.