Home / 1,148.87-1,584.80-706.69

Finding the Fourth Proportional to 1,148.87, 1,584.80 and 706.69

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Solution

The fourth proportional to 1,148.87, 1,584.80 and 706.69 is: 974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.87 : 1,584.80 = 706.69 : x
  2. Step 2: Convert to fraction form
    1,148.87/1,584.80 = 706.69/x
  3. Step 3: Cross multiply
    1,148.87x = 1,584.80 × 706.69
  4. Step 4: Simplify right side
    1,148.87x = 1,119,952.62
  5. Step 5: Solve for x
    x = 1,119,952.62/1,148.87
  6. Step 6: Final answer
    x = 974.83

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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.