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Finding the Fourth Proportional to 1,540.24, 2,308.56 and 718

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Solution

The fourth proportional to 1,540.24, 2,308.56 and 718 is: 1,076.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.24 : 2,308.56 = 718 : x
  2. Step 2: Convert to fraction form
    1,540.24/2,308.56 = 718/x
  3. Step 3: Cross multiply
    1,540.24x = 2,308.56 × 718
  4. Step 4: Simplify right side
    1,540.24x = 1,657,546.08
  5. Step 5: Solve for x
    x = 1,657,546.08/1,540.24
  6. Step 6: Final answer
    x = 1,076.16

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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.