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Finding the Fourth Proportional to 849.68, 1,173.12 and 702.80

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Solution

The fourth proportional to 849.68, 1,173.12 and 702.80 is: 970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.68 : 1,173.12 = 702.80 : x
  2. Step 2: Convert to fraction form
    849.68/1,173.12 = 702.80/x
  3. Step 3: Cross multiply
    849.68x = 1,173.12 × 702.80
  4. Step 4: Simplify right side
    849.68x = 824,468.74
  5. Step 5: Solve for x
    x = 824,468.74/849.68
  6. Step 6: Final answer
    x = 970.33

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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.