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Finding the Fourth Proportional to 791.68, 1,094.16 and 702.40

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Solution

The fourth proportional to 791.68, 1,094.16 and 702.40 is: 970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.68 : 1,094.16 = 702.40 : x
  2. Step 2: Convert to fraction form
    791.68/1,094.16 = 702.40/x
  3. Step 3: Cross multiply
    791.68x = 1,094.16 × 702.40
  4. Step 4: Simplify right side
    791.68x = 768,537.98
  5. Step 5: Solve for x
    x = 768,537.98/791.68
  6. Step 6: Final answer
    x = 970.77

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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.