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Finding the Fourth Proportional to 548.04, 821.14 and 385.43

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Solution

The fourth proportional to 548.04, 821.14 and 385.43 is: 577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.04 : 821.14 = 385.43 : x
  2. Step 2: Convert to fraction form
    548.04/821.14 = 385.43/x
  3. Step 3: Cross multiply
    548.04x = 821.14 × 385.43
  4. Step 4: Simplify right side
    548.04x = 316,493.08
  5. Step 5: Solve for x
    x = 316,493.08/548.04
  6. Step 6: Final answer
    x = 577.50

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Half scale
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Double scale
Find fourth proportional to 549.04, 822.64 and 386.43
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.