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Finding the Fourth Proportional to 1,540.84, 2,312.20 and 761.34

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Solution

The fourth proportional to 1,540.84, 2,312.20 and 761.34 is: 1,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.84 : 2,312.20 = 761.34 : x
  2. Step 2: Convert to fraction form
    1,540.84/2,312.20 = 761.34/x
  3. Step 3: Cross multiply
    1,540.84x = 2,312.20 × 761.34
  4. Step 4: Simplify right side
    1,540.84x = 1,760,370.35
  5. Step 5: Solve for x
    x = 1,760,370.35/1,540.84
  6. Step 6: Final answer
    x = 1,142.47

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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.