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Finding the Fourth Proportional to 928.76, 1,282.80 and 707.60

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Solution

The fourth proportional to 928.76, 1,282.80 and 707.60 is: 977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.76 : 1,282.80 = 707.60 : x
  2. Step 2: Convert to fraction form
    928.76/1,282.80 = 707.60/x
  3. Step 3: Cross multiply
    928.76x = 1,282.80 × 707.60
  4. Step 4: Simplify right side
    928.76x = 907,709.28
  5. Step 5: Solve for x
    x = 907,709.28/928.76
  6. Step 6: Final answer
    x = 977.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.