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Finding the Fourth Proportional to 905.16, 1,248.67 and 609.92

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Solution

The fourth proportional to 905.16, 1,248.67 and 609.92 is: 841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.16 : 1,248.67 = 609.92 : x
  2. Step 2: Convert to fraction form
    905.16/1,248.67 = 609.92/x
  3. Step 3: Cross multiply
    905.16x = 1,248.67 × 609.92
  4. Step 4: Simplify right side
    905.16x = 761,582.56
  5. Step 5: Solve for x
    x = 761,582.56/905.16
  6. Step 6: Final answer
    x = 841.38

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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.