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Finding the Fourth Proportional to 1,292.15, 1,937.77 and 414.62

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Solution

The fourth proportional to 1,292.15, 1,937.77 and 414.62 is: 621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.15 : 1,937.77 = 414.62 : x
  2. Step 2: Convert to fraction form
    1,292.15/1,937.77 = 414.62/x
  3. Step 3: Cross multiply
    1,292.15x = 1,937.77 × 414.62
  4. Step 4: Simplify right side
    1,292.15x = 803,437.07
  5. Step 5: Solve for x
    x = 803,437.07/1,292.15
  6. Step 6: Final answer
    x = 621.78

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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.