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Finding the Fourth Proportional to 522.76, 721.42 and 289.90

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Solution

The fourth proportional to 522.76, 721.42 and 289.90 is: 400.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.76 : 721.42 = 289.90 : x
  2. Step 2: Convert to fraction form
    522.76/721.42 = 289.90/x
  3. Step 3: Cross multiply
    522.76x = 721.42 × 289.90
  4. Step 4: Simplify right side
    522.76x = 209,139.66
  5. Step 5: Solve for x
    x = 209,139.66/522.76
  6. Step 6: Final answer
    x = 400.07

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.