Home / 1,148.09-1,584.32-624.11

Finding the Fourth Proportional to 1,148.09, 1,584.32 and 624.11

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Solution

The fourth proportional to 1,148.09, 1,584.32 and 624.11 is: 861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.09 : 1,584.32 = 624.11 : x
  2. Step 2: Convert to fraction form
    1,148.09/1,584.32 = 624.11/x
  3. Step 3: Cross multiply
    1,148.09x = 1,584.32 × 624.11
  4. Step 4: Simplify right side
    1,148.09x = 988,778.91
  5. Step 5: Solve for x
    x = 988,778.91/1,148.09
  6. Step 6: Final answer
    x = 861.24

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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.