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Finding the Fourth Proportional to 728.10, 1,084.40 and 696.51

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Solution

The fourth proportional to 728.10, 1,084.40 and 696.51 is: 1,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.10 : 1,084.40 = 696.51 : x
  2. Step 2: Convert to fraction form
    728.10/1,084.40 = 696.51/x
  3. Step 3: Cross multiply
    728.10x = 1,084.40 × 696.51
  4. Step 4: Simplify right side
    728.10x = 755,291.96
  5. Step 5: Solve for x
    x = 755,291.96/728.10
  6. Step 6: Final answer
    x = 1,037.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.