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Finding the Fourth Proportional to 759.73, 1,048.67 and 511.06

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Solution

The fourth proportional to 759.73, 1,048.67 and 511.06 is: 705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.73 : 1,048.67 = 511.06 : x
  2. Step 2: Convert to fraction form
    759.73/1,048.67 = 511.06/x
  3. Step 3: Cross multiply
    759.73x = 1,048.67 × 511.06
  4. Step 4: Simplify right side
    759.73x = 535,933.29
  5. Step 5: Solve for x
    x = 535,933.29/759.73
  6. Step 6: Final answer
    x = 705.43

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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.