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Finding the Fourth Proportional to 948.30, 1,414.56 and 933.18

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Solution

The fourth proportional to 948.30, 1,414.56 and 933.18 is: 1,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.30 : 1,414.56 = 933.18 : x
  2. Step 2: Convert to fraction form
    948.30/1,414.56 = 933.18/x
  3. Step 3: Cross multiply
    948.30x = 1,414.56 × 933.18
  4. Step 4: Simplify right side
    948.30x = 1,320,039.10
  5. Step 5: Solve for x
    x = 1,320,039.10/948.30
  6. Step 6: Final answer
    x = 1,392.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.