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Finding the Fourth Proportional to 948.13, 1,418.62 and 852.21

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Solution

The fourth proportional to 948.13, 1,418.62 and 852.21 is: 1,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.13 : 1,418.62 = 852.21 : x
  2. Step 2: Convert to fraction form
    948.13/1,418.62 = 852.21/x
  3. Step 3: Cross multiply
    948.13x = 1,418.62 × 852.21
  4. Step 4: Simplify right side
    948.13x = 1,208,962.15
  5. Step 5: Solve for x
    x = 1,208,962.15/948.13
  6. Step 6: Final answer
    x = 1,275.10

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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.