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Finding the Fourth Proportional to 522.05, 720.41 and 289.19

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Solution

The fourth proportional to 522.05, 720.41 and 289.19 is: 399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.05 : 720.41 = 289.19 : x
  2. Step 2: Convert to fraction form
    522.05/720.41 = 289.19/x
  3. Step 3: Cross multiply
    522.05x = 720.41 × 289.19
  4. Step 4: Simplify right side
    522.05x = 208,333.92
  5. Step 5: Solve for x
    x = 208,333.92/522.05
  6. Step 6: Final answer
    x = 399.07

Related Problems

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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.