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Finding the Fourth Proportional to 905.04, 1,248.78 and 506.71

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Solution

The fourth proportional to 905.04, 1,248.78 and 506.71 is: 699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.04 : 1,248.78 = 506.71 : x
  2. Step 2: Convert to fraction form
    905.04/1,248.78 = 506.71/x
  3. Step 3: Cross multiply
    905.04x = 1,248.78 × 506.71
  4. Step 4: Simplify right side
    905.04x = 632,769.31
  5. Step 5: Solve for x
    x = 632,769.31/905.04
  6. Step 6: Final answer
    x = 699.16

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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.