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Finding the Fourth Proportional to 1,294.57, 1,942.17 and 417.16

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Solution

The fourth proportional to 1,294.57, 1,942.17 and 417.16 is: 625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.57 : 1,942.17 = 417.16 : x
  2. Step 2: Convert to fraction form
    1,294.57/1,942.17 = 417.16/x
  3. Step 3: Cross multiply
    1,294.57x = 1,942.17 × 417.16
  4. Step 4: Simplify right side
    1,294.57x = 810,189.22
  5. Step 5: Solve for x
    x = 810,189.22/1,294.57
  6. Step 6: Final answer
    x = 625.84

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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.