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Finding the Fourth Proportional to 1,078.10, 1,622.62 and 805.63

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Solution

The fourth proportional to 1,078.10, 1,622.62 and 805.63 is: 1,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.10 : 1,622.62 = 805.63 : x
  2. Step 2: Convert to fraction form
    1,078.10/1,622.62 = 805.63/x
  3. Step 3: Cross multiply
    1,078.10x = 1,622.62 × 805.63
  4. Step 4: Simplify right side
    1,078.10x = 1,307,231.35
  5. Step 5: Solve for x
    x = 1,307,231.35/1,078.10
  6. Step 6: Final answer
    x = 1,212.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.