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Finding the Fourth Proportional to 728.08, 1,004.36 and 588.35

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Solution

The fourth proportional to 728.08, 1,004.36 and 588.35 is: 811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.08 : 1,004.36 = 588.35 : x
  2. Step 2: Convert to fraction form
    728.08/1,004.36 = 588.35/x
  3. Step 3: Cross multiply
    728.08x = 1,004.36 × 588.35
  4. Step 4: Simplify right side
    728.08x = 590,915.21
  5. Step 5: Solve for x
    x = 590,915.21/728.08
  6. Step 6: Final answer
    x = 811.61

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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.