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Finding the Fourth Proportional to 1,148.40, 1,584.92 and 650.94

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Solution

The fourth proportional to 1,148.40, 1,584.92 and 650.94 is: 898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.40 : 1,584.92 = 650.94 : x
  2. Step 2: Convert to fraction form
    1,148.40/1,584.92 = 650.94/x
  3. Step 3: Cross multiply
    1,148.40x = 1,584.92 × 650.94
  4. Step 4: Simplify right side
    1,148.40x = 1,031,684.57
  5. Step 5: Solve for x
    x = 1,031,684.57/1,148.40
  6. Step 6: Final answer
    x = 898.37

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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.