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Finding the Fourth Proportional to 758.69, 1,046.99 and 463.92

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Solution

The fourth proportional to 758.69, 1,046.99 and 463.92 is: 640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.69 : 1,046.99 = 463.92 : x
  2. Step 2: Convert to fraction form
    758.69/1,046.99 = 463.92/x
  3. Step 3: Cross multiply
    758.69x = 1,046.99 × 463.92
  4. Step 4: Simplify right side
    758.69x = 485,719.60
  5. Step 5: Solve for x
    x = 485,719.60/758.69
  6. Step 6: Final answer
    x = 640.21

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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.