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Finding the Fourth Proportional to 928.94, 1,390.72 and 698.78

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Solution

The fourth proportional to 928.94, 1,390.72 and 698.78 is: 1,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.94 : 1,390.72 = 698.78 : x
  2. Step 2: Convert to fraction form
    928.94/1,390.72 = 698.78/x
  3. Step 3: Cross multiply
    928.94x = 1,390.72 × 698.78
  4. Step 4: Simplify right side
    928.94x = 971,802.54
  5. Step 5: Solve for x
    x = 971,802.54/928.94
  6. Step 6: Final answer
    x = 1,046.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.