Home / 1,148.05-1,584.32-624.08

Finding the Fourth Proportional to 1,148.05, 1,584.32 and 624.08

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Solution

The fourth proportional to 1,148.05, 1,584.32 and 624.08 is: 861.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.05 : 1,584.32 = 624.08 : x
  2. Step 2: Convert to fraction form
    1,148.05/1,584.32 = 624.08/x
  3. Step 3: Cross multiply
    1,148.05x = 1,584.32 × 624.08
  4. Step 4: Simplify right side
    1,148.05x = 988,734.50
  5. Step 5: Solve for x
    x = 988,734.50/1,148.05
  6. Step 6: Final answer
    x = 861.23

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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.