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Finding the Fourth Proportional to 782.94, 1,077.93 and 702.48

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Solution

The fourth proportional to 782.94, 1,077.93 and 702.48 is: 967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.94 : 1,077.93 = 702.48 : x
  2. Step 2: Convert to fraction form
    782.94/1,077.93 = 702.48/x
  3. Step 3: Cross multiply
    782.94x = 1,077.93 × 702.48
  4. Step 4: Simplify right side
    782.94x = 757,224.27
  5. Step 5: Solve for x
    x = 757,224.27/782.94
  6. Step 6: Final answer
    x = 967.15

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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.