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Finding the Fourth Proportional to 1,294.71, 1,942.13 and 370.40

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Solution

The fourth proportional to 1,294.71, 1,942.13 and 370.40 is: 555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.71 : 1,942.13 = 370.40 : x
  2. Step 2: Convert to fraction form
    1,294.71/1,942.13 = 370.40/x
  3. Step 3: Cross multiply
    1,294.71x = 1,942.13 × 370.40
  4. Step 4: Simplify right side
    1,294.71x = 719,367.96
  5. Step 5: Solve for x
    x = 719,367.96/1,294.71
  6. Step 6: Final answer
    x = 555.62

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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.