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Finding the Fourth Proportional to 759.78, 1,048.19 and 464.94

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Solution

The fourth proportional to 759.78, 1,048.19 and 464.94 is: 641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.78 : 1,048.19 = 464.94 : x
  2. Step 2: Convert to fraction form
    759.78/1,048.19 = 464.94/x
  3. Step 3: Cross multiply
    759.78x = 1,048.19 × 464.94
  4. Step 4: Simplify right side
    759.78x = 487,345.46
  5. Step 5: Solve for x
    x = 487,345.46/759.78
  6. Step 6: Final answer
    x = 641.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.