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Finding the Fourth Proportional to 929.52, 1,394.55 and 352.80

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Solution

The fourth proportional to 929.52, 1,394.55 and 352.80 is: 529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.52 : 1,394.55 = 352.80 : x
  2. Step 2: Convert to fraction form
    929.52/1,394.55 = 352.80/x
  3. Step 3: Cross multiply
    929.52x = 1,394.55 × 352.80
  4. Step 4: Simplify right side
    929.52x = 491,997.24
  5. Step 5: Solve for x
    x = 491,997.24/929.52
  6. Step 6: Final answer
    x = 529.30

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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.