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Finding the Fourth Proportional to 973.67, 1,344.38 and 600.80

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Solution

The fourth proportional to 973.67, 1,344.38 and 600.80 is: 829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.67 : 1,344.38 = 600.80 : x
  2. Step 2: Convert to fraction form
    973.67/1,344.38 = 600.80/x
  3. Step 3: Cross multiply
    973.67x = 1,344.38 × 600.80
  4. Step 4: Simplify right side
    973.67x = 807,693.78
  5. Step 5: Solve for x
    x = 807,693.78/973.67
  6. Step 6: Final answer
    x = 829.54

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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.