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Finding the Fourth Proportional to 973.28, 1,340.78 and 804.53

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Solution

The fourth proportional to 973.28, 1,340.78 and 804.53 is: 1,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.28 : 1,340.78 = 804.53 : x
  2. Step 2: Convert to fraction form
    973.28/1,340.78 = 804.53/x
  3. Step 3: Cross multiply
    973.28x = 1,340.78 × 804.53
  4. Step 4: Simplify right side
    973.28x = 1,078,697.73
  5. Step 5: Solve for x
    x = 1,078,697.73/973.28
  6. Step 6: Final answer
    x = 1,108.31

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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.