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Finding the Fourth Proportional to 759.78, 1,140.23 and 486.54

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Solution

The fourth proportional to 759.78, 1,140.23 and 486.54 is: 730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.78 : 1,140.23 = 486.54 : x
  2. Step 2: Convert to fraction form
    759.78/1,140.23 = 486.54/x
  3. Step 3: Cross multiply
    759.78x = 1,140.23 × 486.54
  4. Step 4: Simplify right side
    759.78x = 554,765.07
  5. Step 5: Solve for x
    x = 554,765.07/759.78
  6. Step 6: Final answer
    x = 730.17

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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.