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Finding the Fourth Proportional to 522, 783.15 and 175.38

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Solution

The fourth proportional to 522, 783.15 and 175.38 is: 263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 783.15 = 175.38 : x
  2. Step 2: Convert to fraction form
    522/783.15 = 175.38/x
  3. Step 3: Cross multiply
    522x = 783.15 × 175.38
  4. Step 4: Simplify right side
    522x = 137,348.85
  5. Step 5: Solve for x
    x = 137,348.85/522
  6. Step 6: Final answer
    x = 263.12

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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.