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Finding the Fourth Proportional to 522.20, 783.28 and 175.54

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Solution

The fourth proportional to 522.20, 783.28 and 175.54 is: 263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.20 : 783.28 = 175.54 : x
  2. Step 2: Convert to fraction form
    522.20/783.28 = 175.54/x
  3. Step 3: Cross multiply
    522.20x = 783.28 × 175.54
  4. Step 4: Simplify right side
    522.20x = 137,494.57
  5. Step 5: Solve for x
    x = 137,494.57/522.20
  6. Step 6: Final answer
    x = 263.30

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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.