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Finding the Fourth Proportional to 2,358.64, 3,538.01 and 627.25

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Solution

The fourth proportional to 2,358.64, 3,538.01 and 627.25 is: 940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.64 : 3,538.01 = 627.25 : x
  2. Step 2: Convert to fraction form
    2,358.64/3,538.01 = 627.25/x
  3. Step 3: Cross multiply
    2,358.64x = 3,538.01 × 627.25
  4. Step 4: Simplify right side
    2,358.64x = 2,219,213.64
  5. Step 5: Solve for x
    x = 2,219,213.64/2,358.64
  6. Step 6: Final answer
    x = 940.89

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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.