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Finding the Fourth Proportional to 522.75, 721.40 and 289.92

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Solution

The fourth proportional to 522.75, 721.40 and 289.92 is: 400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.75 : 721.40 = 289.92 : x
  2. Step 2: Convert to fraction form
    522.75/721.40 = 289.92/x
  3. Step 3: Cross multiply
    522.75x = 721.40 × 289.92
  4. Step 4: Simplify right side
    522.75x = 209,146.84
  5. Step 5: Solve for x
    x = 209,146.84/522.75
  6. Step 6: Final answer
    x = 400.09

Related Problems

Find fourth proportional to 261.38, 360.70 and 144.96
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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.