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Finding the Fourth Proportional to 905.85, 1,248.62 and 709.02

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Solution

The fourth proportional to 905.85, 1,248.62 and 709.02 is: 977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.85 : 1,248.62 = 709.02 : x
  2. Step 2: Convert to fraction form
    905.85/1,248.62 = 709.02/x
  3. Step 3: Cross multiply
    905.85x = 1,248.62 × 709.02
  4. Step 4: Simplify right side
    905.85x = 885,293.01
  5. Step 5: Solve for x
    x = 885,293.01/905.85
  6. Step 6: Final answer
    x = 977.31

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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.