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Finding the Fourth Proportional to 928.21, 1,280.93 and 633.47

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Solution

The fourth proportional to 928.21, 1,280.93 and 633.47 is: 874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.21 : 1,280.93 = 633.47 : x
  2. Step 2: Convert to fraction form
    928.21/1,280.93 = 633.47/x
  3. Step 3: Cross multiply
    928.21x = 1,280.93 × 633.47
  4. Step 4: Simplify right side
    928.21x = 811,424.32
  5. Step 5: Solve for x
    x = 811,424.32/928.21
  6. Step 6: Final answer
    x = 874.19

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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.