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Finding the Fourth Proportional to 908.96, 1,363.35 and 746.36

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Solution

The fourth proportional to 908.96, 1,363.35 and 746.36 is: 1,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.96 : 1,363.35 = 746.36 : x
  2. Step 2: Convert to fraction form
    908.96/1,363.35 = 746.36/x
  3. Step 3: Cross multiply
    908.96x = 1,363.35 × 746.36
  4. Step 4: Simplify right side
    908.96x = 1,017,549.91
  5. Step 5: Solve for x
    x = 1,017,549.91/908.96
  6. Step 6: Final answer
    x = 1,119.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.