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Finding the Fourth Proportional to 973.58, 1,453.43 and 939.41

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Solution

The fourth proportional to 973.58, 1,453.43 and 939.41 is: 1,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.58 : 1,453.43 = 939.41 : x
  2. Step 2: Convert to fraction form
    973.58/1,453.43 = 939.41/x
  3. Step 3: Cross multiply
    973.58x = 1,453.43 × 939.41
  4. Step 4: Simplify right side
    973.58x = 1,365,361.76
  5. Step 5: Solve for x
    x = 1,365,361.76/973.58
  6. Step 6: Final answer
    x = 1,402.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.