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Finding the Fourth Proportional to 761.88, 1,142.08 and 328.44

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Solution

The fourth proportional to 761.88, 1,142.08 and 328.44 is: 492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.88 : 1,142.08 = 328.44 : x
  2. Step 2: Convert to fraction form
    761.88/1,142.08 = 328.44/x
  3. Step 3: Cross multiply
    761.88x = 1,142.08 × 328.44
  4. Step 4: Simplify right side
    761.88x = 375,104.76
  5. Step 5: Solve for x
    x = 375,104.76/761.88
  6. Step 6: Final answer
    x = 492.34

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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.