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Finding the Fourth Proportional to 782.07, 1,174.59 and 747.51

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Solution

The fourth proportional to 782.07, 1,174.59 and 747.51 is: 1,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.07 : 1,174.59 = 747.51 : x
  2. Step 2: Convert to fraction form
    782.07/1,174.59 = 747.51/x
  3. Step 3: Cross multiply
    782.07x = 1,174.59 × 747.51
  4. Step 4: Simplify right side
    782.07x = 878,017.77
  5. Step 5: Solve for x
    x = 878,017.77/782.07
  6. Step 6: Final answer
    x = 1,122.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.