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Finding the Fourth Proportional to 1,536.54, 2,305.71 and 714.84

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Solution

The fourth proportional to 1,536.54, 2,305.71 and 714.84 is: 1,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.54 : 2,305.71 = 714.84 : x
  2. Step 2: Convert to fraction form
    1,536.54/2,305.71 = 714.84/x
  3. Step 3: Cross multiply
    1,536.54x = 2,305.71 × 714.84
  4. Step 4: Simplify right side
    1,536.54x = 1,648,213.74
  5. Step 5: Solve for x
    x = 1,648,213.74/1,536.54
  6. Step 6: Final answer
    x = 1,072.68

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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.