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Finding the Fourth Proportional to 758.66, 1,046.39 and 478.80

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Solution

The fourth proportional to 758.66, 1,046.39 and 478.80 is: 660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.66 : 1,046.39 = 478.80 : x
  2. Step 2: Convert to fraction form
    758.66/1,046.39 = 478.80/x
  3. Step 3: Cross multiply
    758.66x = 1,046.39 × 478.80
  4. Step 4: Simplify right side
    758.66x = 501,009.14
  5. Step 5: Solve for x
    x = 501,009.14/758.66
  6. Step 6: Final answer
    x = 660.39

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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.