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Finding the Fourth Proportional to 1,059.62, 1,462.80 and 687.14

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Solution

The fourth proportional to 1,059.62, 1,462.80 and 687.14 is: 948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.62 : 1,462.80 = 687.14 : x
  2. Step 2: Convert to fraction form
    1,059.62/1,462.80 = 687.14/x
  3. Step 3: Cross multiply
    1,059.62x = 1,462.80 × 687.14
  4. Step 4: Simplify right side
    1,059.62x = 1,005,148.39
  5. Step 5: Solve for x
    x = 1,005,148.39/1,059.62
  6. Step 6: Final answer
    x = 948.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.