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Finding the Fourth Proportional to 2,258.17, 3,387.80 and 797.47

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Solution

The fourth proportional to 2,258.17, 3,387.80 and 797.47 is: 1,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.17 : 3,387.80 = 797.47 : x
  2. Step 2: Convert to fraction form
    2,258.17/3,387.80 = 797.47/x
  3. Step 3: Cross multiply
    2,258.17x = 3,387.80 × 797.47
  4. Step 4: Simplify right side
    2,258.17x = 2,701,668.87
  5. Step 5: Solve for x
    x = 2,701,668.87/2,258.17
  6. Step 6: Final answer
    x = 1,196.40

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1.5x scale

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.