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Finding the Fourth Proportional to 522.92, 784.61 and 230.28

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Solution

The fourth proportional to 522.92, 784.61 and 230.28 is: 345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.92 : 784.61 = 230.28 : x
  2. Step 2: Convert to fraction form
    522.92/784.61 = 230.28/x
  3. Step 3: Cross multiply
    522.92x = 784.61 × 230.28
  4. Step 4: Simplify right side
    522.92x = 180,679.99
  5. Step 5: Solve for x
    x = 180,679.99/522.92
  6. Step 6: Final answer
    x = 345.52

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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.