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Finding the Fourth Proportional to 1,070.14, 1,604.94 and 411.88

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Solution

The fourth proportional to 1,070.14, 1,604.94 and 411.88 is: 617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.14 : 1,604.94 = 411.88 : x
  2. Step 2: Convert to fraction form
    1,070.14/1,604.94 = 411.88/x
  3. Step 3: Cross multiply
    1,070.14x = 1,604.94 × 411.88
  4. Step 4: Simplify right side
    1,070.14x = 661,042.69
  5. Step 5: Solve for x
    x = 661,042.69/1,070.14
  6. Step 6: Final answer
    x = 617.72

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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.