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Finding the Fourth Proportional to 744.92, 1,117.98 and 455.48

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Solution

The fourth proportional to 744.92, 1,117.98 and 455.48 is: 683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.92 : 1,117.98 = 455.48 : x
  2. Step 2: Convert to fraction form
    744.92/1,117.98 = 455.48/x
  3. Step 3: Cross multiply
    744.92x = 1,117.98 × 455.48
  4. Step 4: Simplify right side
    744.92x = 509,217.53
  5. Step 5: Solve for x
    x = 509,217.53/744.92
  6. Step 6: Final answer
    x = 683.59

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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.