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Finding the Fourth Proportional to 928.88, 1,386.15 and 831.68

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Solution

The fourth proportional to 928.88, 1,386.15 and 831.68 is: 1,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.88 : 1,386.15 = 831.68 : x
  2. Step 2: Convert to fraction form
    928.88/1,386.15 = 831.68/x
  3. Step 3: Cross multiply
    928.88x = 1,386.15 × 831.68
  4. Step 4: Simplify right side
    928.88x = 1,152,833.23
  5. Step 5: Solve for x
    x = 1,152,833.23/928.88
  6. Step 6: Final answer
    x = 1,241.10

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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.