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Finding the Fourth Proportional to 1,191.93, 1,787.90 and 948.93

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Solution

The fourth proportional to 1,191.93, 1,787.90 and 948.93 is: 1,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.93 : 1,787.90 = 948.93 : x
  2. Step 2: Convert to fraction form
    1,191.93/1,787.90 = 948.93/x
  3. Step 3: Cross multiply
    1,191.93x = 1,787.90 × 948.93
  4. Step 4: Simplify right side
    1,191.93x = 1,696,587.20
  5. Step 5: Solve for x
    x = 1,696,587.20/1,191.93
  6. Step 6: Final answer
    x = 1,423.40

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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.