Home / 1,148.10-1,584.48-650.86

Finding the Fourth Proportional to 1,148.10, 1,584.48 and 650.86

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Solution

The fourth proportional to 1,148.10, 1,584.48 and 650.86 is: 898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.10 : 1,584.48 = 650.86 : x
  2. Step 2: Convert to fraction form
    1,148.10/1,584.48 = 650.86/x
  3. Step 3: Cross multiply
    1,148.10x = 1,584.48 × 650.86
  4. Step 4: Simplify right side
    1,148.10x = 1,031,274.65
  5. Step 5: Solve for x
    x = 1,031,274.65/1,148.10
  6. Step 6: Final answer
    x = 898.24

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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.