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Finding the Fourth Proportional to 1,057.85, 1,587.04 and 408.63

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Solution

The fourth proportional to 1,057.85, 1,587.04 and 408.63 is: 613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.85 : 1,587.04 = 408.63 : x
  2. Step 2: Convert to fraction form
    1,057.85/1,587.04 = 408.63/x
  3. Step 3: Cross multiply
    1,057.85x = 1,587.04 × 408.63
  4. Step 4: Simplify right side
    1,057.85x = 648,511.13
  5. Step 5: Solve for x
    x = 648,511.13/1,057.85
  6. Step 6: Final answer
    x = 613.05

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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.