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Finding the Fourth Proportional to 1,325.02, 1,829.01 and 801.04

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Solution

The fourth proportional to 1,325.02, 1,829.01 and 801.04 is: 1,105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.02 : 1,829.01 = 801.04 : x
  2. Step 2: Convert to fraction form
    1,325.02/1,829.01 = 801.04/x
  3. Step 3: Cross multiply
    1,325.02x = 1,829.01 × 801.04
  4. Step 4: Simplify right side
    1,325.02x = 1,465,110.17
  5. Step 5: Solve for x
    x = 1,465,110.17/1,325.02
  6. Step 6: Final answer
    x = 1,105.73

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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.