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Finding the Fourth Proportional to 1,076.14, 1,612.50 and 690.58

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Solution

The fourth proportional to 1,076.14, 1,612.50 and 690.58 is: 1,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.14 : 1,612.50 = 690.58 : x
  2. Step 2: Convert to fraction form
    1,076.14/1,612.50 = 690.58/x
  3. Step 3: Cross multiply
    1,076.14x = 1,612.50 × 690.58
  4. Step 4: Simplify right side
    1,076.14x = 1,113,560.25
  5. Step 5: Solve for x
    x = 1,113,560.25/1,076.14
  6. Step 6: Final answer
    x = 1,034.77

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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.