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Finding the Fourth Proportional to 522.77, 721.42 and 289.89

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Solution

The fourth proportional to 522.77, 721.42 and 289.89 is: 400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.77 : 721.42 = 289.89 : x
  2. Step 2: Convert to fraction form
    522.77/721.42 = 289.89/x
  3. Step 3: Cross multiply
    522.77x = 721.42 × 289.89
  4. Step 4: Simplify right side
    522.77x = 209,134.97
  5. Step 5: Solve for x
    x = 209,134.97/522.77
  6. Step 6: Final answer
    x = 400.05

Related Problems

Find fourth proportional to 261.38, 360.71 and 144.95
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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.