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Finding the Fourth Proportional to 1,045, 1,564.04 and 800.12

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Solution

The fourth proportional to 1,045, 1,564.04 and 800.12 is: 1,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045 : 1,564.04 = 800.12 : x
  2. Step 2: Convert to fraction form
    1,045/1,564.04 = 800.12/x
  3. Step 3: Cross multiply
    1,045x = 1,564.04 × 800.12
  4. Step 4: Simplify right side
    1,045x = 1,251,419.68
  5. Step 5: Solve for x
    x = 1,251,419.68/1,045
  6. Step 6: Final answer
    x = 1,197.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.