Home / 1,148.11-1,584.34-650.78

Finding the Fourth Proportional to 1,148.11, 1,584.34 and 650.78

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Solution

The fourth proportional to 1,148.11, 1,584.34 and 650.78 is: 898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.11 : 1,584.34 = 650.78 : x
  2. Step 2: Convert to fraction form
    1,148.11/1,584.34 = 650.78/x
  3. Step 3: Cross multiply
    1,148.11x = 1,584.34 × 650.78
  4. Step 4: Simplify right side
    1,148.11x = 1,031,056.79
  5. Step 5: Solve for x
    x = 1,031,056.79/1,148.11
  6. Step 6: Final answer
    x = 898.05

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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.