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Finding the Fourth Proportional to 1,069.40, 1,475.38 and 627.14

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Solution

The fourth proportional to 1,069.40, 1,475.38 and 627.14 is: 865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.40 : 1,475.38 = 627.14 : x
  2. Step 2: Convert to fraction form
    1,069.40/1,475.38 = 627.14/x
  3. Step 3: Cross multiply
    1,069.40x = 1,475.38 × 627.14
  4. Step 4: Simplify right side
    1,069.40x = 925,274.29
  5. Step 5: Solve for x
    x = 925,274.29/1,069.40
  6. Step 6: Final answer
    x = 865.23

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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.