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Finding the Fourth Proportional to 928.24, 1,280.74 and 633.80

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Solution

The fourth proportional to 928.24, 1,280.74 and 633.80 is: 874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.24 : 1,280.74 = 633.80 : x
  2. Step 2: Convert to fraction form
    928.24/1,280.74 = 633.80/x
  3. Step 3: Cross multiply
    928.24x = 1,280.74 × 633.80
  4. Step 4: Simplify right side
    928.24x = 811,733.01
  5. Step 5: Solve for x
    x = 811,733.01/928.24
  6. Step 6: Final answer
    x = 874.49

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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.