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Finding the Fourth Proportional to 835.62, 1,258.35 and 728.70

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Solution

The fourth proportional to 835.62, 1,258.35 and 728.70 is: 1,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.62 : 1,258.35 = 728.70 : x
  2. Step 2: Convert to fraction form
    835.62/1,258.35 = 728.70/x
  3. Step 3: Cross multiply
    835.62x = 1,258.35 × 728.70
  4. Step 4: Simplify right side
    835.62x = 916,959.65
  5. Step 5: Solve for x
    x = 916,959.65/835.62
  6. Step 6: Final answer
    x = 1,097.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.