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Finding the Fourth Proportional to 728.72, 1,006.56 and 604.88

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Solution

The fourth proportional to 728.72, 1,006.56 and 604.88 is: 835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.72 : 1,006.56 = 604.88 : x
  2. Step 2: Convert to fraction form
    728.72/1,006.56 = 604.88/x
  3. Step 3: Cross multiply
    728.72x = 1,006.56 × 604.88
  4. Step 4: Simplify right side
    728.72x = 608,848.01
  5. Step 5: Solve for x
    x = 608,848.01/728.72
  6. Step 6: Final answer
    x = 835.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.