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Finding the Fourth Proportional to 548.10, 822.15 and 512.10

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Solution

The fourth proportional to 548.10, 822.15 and 512.10 is: 768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.10 : 822.15 = 512.10 : x
  2. Step 2: Convert to fraction form
    548.10/822.15 = 512.10/x
  3. Step 3: Cross multiply
    548.10x = 822.15 × 512.10
  4. Step 4: Simplify right side
    548.10x = 421,023.02
  5. Step 5: Solve for x
    x = 421,023.02/548.10
  6. Step 6: Final answer
    x = 768.15

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Half scale
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Double scale
Find fourth proportional to 549.10, 823.65 and 513.10
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.