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Finding the Fourth Proportional to 522.46, 783.42 and 175.68

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Solution

The fourth proportional to 522.46, 783.42 and 175.68 is: 263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.46 : 783.42 = 175.68 : x
  2. Step 2: Convert to fraction form
    522.46/783.42 = 175.68/x
  3. Step 3: Cross multiply
    522.46x = 783.42 × 175.68
  4. Step 4: Simplify right side
    522.46x = 137,631.23
  5. Step 5: Solve for x
    x = 137,631.23/522.46
  6. Step 6: Final answer
    x = 263.43

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Double scale
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Similar ratio
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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.