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Finding the Fourth Proportional to 758.85, 1,046.76 and 478.59

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Solution

The fourth proportional to 758.85, 1,046.76 and 478.59 is: 660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.85 : 1,046.76 = 478.59 : x
  2. Step 2: Convert to fraction form
    758.85/1,046.76 = 478.59/x
  3. Step 3: Cross multiply
    758.85x = 1,046.76 × 478.59
  4. Step 4: Simplify right side
    758.85x = 500,968.87
  5. Step 5: Solve for x
    x = 500,968.87/758.85
  6. Step 6: Final answer
    x = 660.17

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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.