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Finding the Fourth Proportional to 905.91, 1,248.80 and 709.08

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Solution

The fourth proportional to 905.91, 1,248.80 and 709.08 is: 977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.91 : 1,248.80 = 709.08 : x
  2. Step 2: Convert to fraction form
    905.91/1,248.80 = 709.08/x
  3. Step 3: Cross multiply
    905.91x = 1,248.80 × 709.08
  4. Step 4: Simplify right side
    905.91x = 885,495.56
  5. Step 5: Solve for x
    x = 885,495.56/905.91
  6. Step 6: Final answer
    x = 977.47

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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.