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Finding the Fourth Proportional to 522.85, 784.28 and 466.47

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Solution

The fourth proportional to 522.85, 784.28 and 466.47 is: 699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.85 : 784.28 = 466.47 : x
  2. Step 2: Convert to fraction form
    522.85/784.28 = 466.47/x
  3. Step 3: Cross multiply
    522.85x = 784.28 × 466.47
  4. Step 4: Simplify right side
    522.85x = 365,836.84
  5. Step 5: Solve for x
    x = 365,836.84/522.85
  6. Step 6: Final answer
    x = 699.70

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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.