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Finding the Fourth Proportional to 927.99, 1,280.54 and 534.94

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Solution

The fourth proportional to 927.99, 1,280.54 and 534.94 is: 738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.99 : 1,280.54 = 534.94 : x
  2. Step 2: Convert to fraction form
    927.99/1,280.54 = 534.94/x
  3. Step 3: Cross multiply
    927.99x = 1,280.54 × 534.94
  4. Step 4: Simplify right side
    927.99x = 685,010.20
  5. Step 5: Solve for x
    x = 685,010.20/927.99
  6. Step 6: Final answer
    x = 738.17

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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.