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Finding the Fourth Proportional to 803.16, 1,107.94 and 698.02

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Solution

The fourth proportional to 803.16, 1,107.94 and 698.02 is: 962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.16 : 1,107.94 = 698.02 : x
  2. Step 2: Convert to fraction form
    803.16/1,107.94 = 698.02/x
  3. Step 3: Cross multiply
    803.16x = 1,107.94 × 698.02
  4. Step 4: Simplify right side
    803.16x = 773,364.28
  5. Step 5: Solve for x
    x = 773,364.28/803.16
  6. Step 6: Final answer
    x = 962.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.