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Finding the Fourth Proportional to 927.19, 1,278.83 and 572.94

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Solution

The fourth proportional to 927.19, 1,278.83 and 572.94 is: 790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.19 : 1,278.83 = 572.94 : x
  2. Step 2: Convert to fraction form
    927.19/1,278.83 = 572.94/x
  3. Step 3: Cross multiply
    927.19x = 1,278.83 × 572.94
  4. Step 4: Simplify right side
    927.19x = 732,694.29
  5. Step 5: Solve for x
    x = 732,694.29/927.19
  6. Step 6: Final answer
    x = 790.23

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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.