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Finding the Fourth Proportional to 930.89, 1,284.84 and 728.61

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Solution

The fourth proportional to 930.89, 1,284.84 and 728.61 is: 1,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.89 : 1,284.84 = 728.61 : x
  2. Step 2: Convert to fraction form
    930.89/1,284.84 = 728.61/x
  3. Step 3: Cross multiply
    930.89x = 1,284.84 × 728.61
  4. Step 4: Simplify right side
    930.89x = 936,139.72
  5. Step 5: Solve for x
    x = 936,139.72/930.89
  6. Step 6: Final answer
    x = 1,005.64

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1.5x scale

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.