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Finding the Fourth Proportional to 728.22, 1,004.19 and 623.66

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Solution

The fourth proportional to 728.22, 1,004.19 and 623.66 is: 860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.22 : 1,004.19 = 623.66 : x
  2. Step 2: Convert to fraction form
    728.22/1,004.19 = 623.66/x
  3. Step 3: Cross multiply
    728.22x = 1,004.19 × 623.66
  4. Step 4: Simplify right side
    728.22x = 626,268.11
  5. Step 5: Solve for x
    x = 626,268.11/728.22
  6. Step 6: Final answer
    x = 860.00

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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.