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Finding the Fourth Proportional to 803.12, 1,107.68 and 678.58

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Solution

The fourth proportional to 803.12, 1,107.68 and 678.58 is: 935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.12 : 1,107.68 = 678.58 : x
  2. Step 2: Convert to fraction form
    803.12/1,107.68 = 678.58/x
  3. Step 3: Cross multiply
    803.12x = 1,107.68 × 678.58
  4. Step 4: Simplify right side
    803.12x = 751,643.33
  5. Step 5: Solve for x
    x = 751,643.33/803.12
  6. Step 6: Final answer
    x = 935.91

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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.