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Finding the Fourth Proportional to 928.96, 1,282 and 515.04

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Solution

The fourth proportional to 928.96, 1,282 and 515.04 is: 710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.96 : 1,282 = 515.04 : x
  2. Step 2: Convert to fraction form
    928.96/1,282 = 515.04/x
  3. Step 3: Cross multiply
    928.96x = 1,282 × 515.04
  4. Step 4: Simplify right side
    928.96x = 660,281.28
  5. Step 5: Solve for x
    x = 660,281.28/928.96
  6. Step 6: Final answer
    x = 710.77

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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.