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Finding the Fourth Proportional to 758.50, 1,046.73 and 443.98

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Solution

The fourth proportional to 758.50, 1,046.73 and 443.98 is: 612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.50 : 1,046.73 = 443.98 : x
  2. Step 2: Convert to fraction form
    758.50/1,046.73 = 443.98/x
  3. Step 3: Cross multiply
    758.50x = 1,046.73 × 443.98
  4. Step 4: Simplify right side
    758.50x = 464,727.19
  5. Step 5: Solve for x
    x = 464,727.19/758.50
  6. Step 6: Final answer
    x = 612.69

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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.