Home / 1,148.28-1,584.39-706.43

Finding the Fourth Proportional to 1,148.28, 1,584.39 and 706.43

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Solution

The fourth proportional to 1,148.28, 1,584.39 and 706.43 is: 974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.28 : 1,584.39 = 706.43 : x
  2. Step 2: Convert to fraction form
    1,148.28/1,584.39 = 706.43/x
  3. Step 3: Cross multiply
    1,148.28x = 1,584.39 × 706.43
  4. Step 4: Simplify right side
    1,148.28x = 1,119,267.24
  5. Step 5: Solve for x
    x = 1,119,267.24/1,148.28
  6. Step 6: Final answer
    x = 974.74

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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.