Home / 1,087.45-1,631.39-462.74

Finding the Fourth Proportional to 1,087.45, 1,631.39 and 462.74

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Solution

The fourth proportional to 1,087.45, 1,631.39 and 462.74 is: 694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.45 : 1,631.39 = 462.74 : x
  2. Step 2: Convert to fraction form
    1,087.45/1,631.39 = 462.74/x
  3. Step 3: Cross multiply
    1,087.45x = 1,631.39 × 462.74
  4. Step 4: Simplify right side
    1,087.45x = 754,914.64
  5. Step 5: Solve for x
    x = 754,914.64/1,087.45
  6. Step 6: Final answer
    x = 694.21

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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.