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Finding the Fourth Proportional to 1,052.58, 1,451.25 and 803.51

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Solution

The fourth proportional to 1,052.58, 1,451.25 and 803.51 is: 1,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.58 : 1,451.25 = 803.51 : x
  2. Step 2: Convert to fraction form
    1,052.58/1,451.25 = 803.51/x
  3. Step 3: Cross multiply
    1,052.58x = 1,451.25 × 803.51
  4. Step 4: Simplify right side
    1,052.58x = 1,166,093.89
  5. Step 5: Solve for x
    x = 1,166,093.89/1,052.58
  6. Step 6: Final answer
    x = 1,107.84

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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.