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Finding the Fourth Proportional to 547.84, 822.30 and 411.22

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Solution

The fourth proportional to 547.84, 822.30 and 411.22 is: 617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.84 : 822.30 = 411.22 : x
  2. Step 2: Convert to fraction form
    547.84/822.30 = 411.22/x
  3. Step 3: Cross multiply
    547.84x = 822.30 × 411.22
  4. Step 4: Simplify right side
    547.84x = 338,146.21
  5. Step 5: Solve for x
    x = 338,146.21/547.84
  6. Step 6: Final answer
    x = 617.24

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.