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Finding the Fourth Proportional to 522.34, 783.52 and 175.70

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Solution

The fourth proportional to 522.34, 783.52 and 175.70 is: 263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.34 : 783.52 = 175.70 : x
  2. Step 2: Convert to fraction form
    522.34/783.52 = 175.70/x
  3. Step 3: Cross multiply
    522.34x = 783.52 × 175.70
  4. Step 4: Simplify right side
    522.34x = 137,665.98
  5. Step 5: Solve for x
    x = 137,665.98/522.34
  6. Step 6: Final answer
    x = 263.56

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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.