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Finding the Fourth Proportional to 926.88, 1,388.52 and 493.44

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Solution

The fourth proportional to 926.88, 1,388.52 and 493.44 is: 739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.88 : 1,388.52 = 493.44 : x
  2. Step 2: Convert to fraction form
    926.88/1,388.52 = 493.44/x
  3. Step 3: Cross multiply
    926.88x = 1,388.52 × 493.44
  4. Step 4: Simplify right side
    926.88x = 685,151.31
  5. Step 5: Solve for x
    x = 685,151.31/926.88
  6. Step 6: Final answer
    x = 739.20

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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.