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Finding the Fourth Proportional to 743.48, 1,109.77 and 688.50

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Solution

The fourth proportional to 743.48, 1,109.77 and 688.50 is: 1,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.48 : 1,109.77 = 688.50 : x
  2. Step 2: Convert to fraction form
    743.48/1,109.77 = 688.50/x
  3. Step 3: Cross multiply
    743.48x = 1,109.77 × 688.50
  4. Step 4: Simplify right side
    743.48x = 764,074.92
  5. Step 5: Solve for x
    x = 764,074.92/743.48
  6. Step 6: Final answer
    x = 1,027.70

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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.