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Finding the Fourth Proportional to 928.09, 1,391.08 and 407.34

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Solution

The fourth proportional to 928.09, 1,391.08 and 407.34 is: 610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.09 : 1,391.08 = 407.34 : x
  2. Step 2: Convert to fraction form
    928.09/1,391.08 = 407.34/x
  3. Step 3: Cross multiply
    928.09x = 1,391.08 × 407.34
  4. Step 4: Simplify right side
    928.09x = 566,642.53
  5. Step 5: Solve for x
    x = 566,642.53/928.09
  6. Step 6: Final answer
    x = 610.55

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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.