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Finding the Fourth Proportional to 547.16, 822.15 and 411.08

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Solution

The fourth proportional to 547.16, 822.15 and 411.08 is: 617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.16 : 822.15 = 411.08 : x
  2. Step 2: Convert to fraction form
    547.16/822.15 = 411.08/x
  3. Step 3: Cross multiply
    547.16x = 822.15 × 411.08
  4. Step 4: Simplify right side
    547.16x = 337,965.31
  5. Step 5: Solve for x
    x = 337,965.31/547.16
  6. Step 6: Final answer
    x = 617.68

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.