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Finding the Fourth Proportional to 783, 1,174.37 and 320.66

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Solution

The fourth proportional to 783, 1,174.37 and 320.66 is: 480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    783 : 1,174.37 = 320.66 : x
  2. Step 2: Convert to fraction form
    783/1,174.37 = 320.66/x
  3. Step 3: Cross multiply
    783x = 1,174.37 × 320.66
  4. Step 4: Simplify right side
    783x = 376,570.41
  5. Step 5: Solve for x
    x = 376,570.41/783
  6. Step 6: Final answer
    x = 480.93

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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.