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Finding the Fourth Proportional to 548.51, 823.04 and 274.64

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Solution

The fourth proportional to 548.51, 823.04 and 274.64 is: 412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.51 : 823.04 = 274.64 : x
  2. Step 2: Convert to fraction form
    548.51/823.04 = 274.64/x
  3. Step 3: Cross multiply
    548.51x = 823.04 × 274.64
  4. Step 4: Simplify right side
    548.51x = 226,039.71
  5. Step 5: Solve for x
    x = 226,039.71/548.51
  6. Step 6: Final answer
    x = 412.10

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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.