Home / 1,148.47-1,584.86-624.49

Finding the Fourth Proportional to 1,148.47, 1,584.86 and 624.49

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Solution

The fourth proportional to 1,148.47, 1,584.86 and 624.49 is: 861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.47 : 1,584.86 = 624.49 : x
  2. Step 2: Convert to fraction form
    1,148.47/1,584.86 = 624.49/x
  3. Step 3: Cross multiply
    1,148.47x = 1,584.86 × 624.49
  4. Step 4: Simplify right side
    1,148.47x = 989,722.14
  5. Step 5: Solve for x
    x = 989,722.14/1,148.47
  6. Step 6: Final answer
    x = 861.78

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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.