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Finding the Fourth Proportional to 927.63, 1,280.16 and 513.63

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Solution

The fourth proportional to 927.63, 1,280.16 and 513.63 is: 708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.63 : 1,280.16 = 513.63 : x
  2. Step 2: Convert to fraction form
    927.63/1,280.16 = 513.63/x
  3. Step 3: Cross multiply
    927.63x = 1,280.16 × 513.63
  4. Step 4: Simplify right side
    927.63x = 657,523.46
  5. Step 5: Solve for x
    x = 657,523.46/927.63
  6. Step 6: Final answer
    x = 708.82

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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.