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Finding the Fourth Proportional to 728.99, 1,004.92 and 628.98

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Solution

The fourth proportional to 728.99, 1,004.92 and 628.98 is: 867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.99 : 1,004.92 = 628.98 : x
  2. Step 2: Convert to fraction form
    728.99/1,004.92 = 628.98/x
  3. Step 3: Cross multiply
    728.99x = 1,004.92 × 628.98
  4. Step 4: Simplify right side
    728.99x = 632,074.58
  5. Step 5: Solve for x
    x = 632,074.58/728.99
  6. Step 6: Final answer
    x = 867.06

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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.