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Finding the Fourth Proportional to 759.78, 1,046.79 and 510.66

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Solution

The fourth proportional to 759.78, 1,046.79 and 510.66 is: 703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.78 : 1,046.79 = 510.66 : x
  2. Step 2: Convert to fraction form
    759.78/1,046.79 = 510.66/x
  3. Step 3: Cross multiply
    759.78x = 1,046.79 × 510.66
  4. Step 4: Simplify right side
    759.78x = 534,553.78
  5. Step 5: Solve for x
    x = 534,553.78/759.78
  6. Step 6: Final answer
    x = 703.56

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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.