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Finding the Fourth Proportional to 1,148.57, 1,584.21 and 706.71

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Solution

The fourth proportional to 1,148.57, 1,584.21 and 706.71 is: 974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.57 : 1,584.21 = 706.71 : x
  2. Step 2: Convert to fraction form
    1,148.57/1,584.21 = 706.71/x
  3. Step 3: Cross multiply
    1,148.57x = 1,584.21 × 706.71
  4. Step 4: Simplify right side
    1,148.57x = 1,119,577.05
  5. Step 5: Solve for x
    x = 1,119,577.05/1,148.57
  6. Step 6: Final answer
    x = 974.76

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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.