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Finding the Fourth Proportional to 948.48, 1,422.63 and 578.19

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Solution

The fourth proportional to 948.48, 1,422.63 and 578.19 is: 867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.48 : 1,422.63 = 578.19 : x
  2. Step 2: Convert to fraction form
    948.48/1,422.63 = 578.19/x
  3. Step 3: Cross multiply
    948.48x = 1,422.63 × 578.19
  4. Step 4: Simplify right side
    948.48x = 822,550.44
  5. Step 5: Solve for x
    x = 822,550.44/948.48
  6. Step 6: Final answer
    x = 867.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.