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Finding the Fourth Proportional to 928.04, 1,281.12 and 801.50

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Solution

The fourth proportional to 928.04, 1,281.12 and 801.50 is: 1,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.04 : 1,281.12 = 801.50 : x
  2. Step 2: Convert to fraction form
    928.04/1,281.12 = 801.50/x
  3. Step 3: Cross multiply
    928.04x = 1,281.12 × 801.50
  4. Step 4: Simplify right side
    928.04x = 1,026,817.68
  5. Step 5: Solve for x
    x = 1,026,817.68/928.04
  6. Step 6: Final answer
    x = 1,106.44

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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.