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Finding the Fourth Proportional to 743.33, 1,114.99 and 511.52

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Solution

The fourth proportional to 743.33, 1,114.99 and 511.52 is: 767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.33 : 1,114.99 = 511.52 : x
  2. Step 2: Convert to fraction form
    743.33/1,114.99 = 511.52/x
  3. Step 3: Cross multiply
    743.33x = 1,114.99 × 511.52
  4. Step 4: Simplify right side
    743.33x = 570,339.68
  5. Step 5: Solve for x
    x = 570,339.68/743.33
  6. Step 6: Final answer
    x = 767.28

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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.