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Finding the Fourth Proportional to 1,145.44, 1,718.28 and 365.26

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Solution

The fourth proportional to 1,145.44, 1,718.28 and 365.26 is: 547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.44 : 1,718.28 = 365.26 : x
  2. Step 2: Convert to fraction form
    1,145.44/1,718.28 = 365.26/x
  3. Step 3: Cross multiply
    1,145.44x = 1,718.28 × 365.26
  4. Step 4: Simplify right side
    1,145.44x = 627,610.36
  5. Step 5: Solve for x
    x = 627,610.36/1,145.44
  6. Step 6: Final answer
    x = 547.92

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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.