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Finding the Fourth Proportional to 1,536.63, 2,305.74 and 714.66

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Solution

The fourth proportional to 1,536.63, 2,305.74 and 714.66 is: 1,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.63 : 2,305.74 = 714.66 : x
  2. Step 2: Convert to fraction form
    1,536.63/2,305.74 = 714.66/x
  3. Step 3: Cross multiply
    1,536.63x = 2,305.74 × 714.66
  4. Step 4: Simplify right side
    1,536.63x = 1,647,820.15
  5. Step 5: Solve for x
    x = 1,647,820.15/1,536.63
  6. Step 6: Final answer
    x = 1,072.36

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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.