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Finding the Fourth Proportional to 743.48, 1,110.70 and 481.34

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Solution

The fourth proportional to 743.48, 1,110.70 and 481.34 is: 719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.48 : 1,110.70 = 481.34 : x
  2. Step 2: Convert to fraction form
    743.48/1,110.70 = 481.34/x
  3. Step 3: Cross multiply
    743.48x = 1,110.70 × 481.34
  4. Step 4: Simplify right side
    743.48x = 534,624.34
  5. Step 5: Solve for x
    x = 534,624.34/743.48
  6. Step 6: Final answer
    x = 719.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.