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Finding the Fourth Proportional to 806.08, 1,207.59 and 675.76

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Solution

The fourth proportional to 806.08, 1,207.59 and 675.76 is: 1,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.08 : 1,207.59 = 675.76 : x
  2. Step 2: Convert to fraction form
    806.08/1,207.59 = 675.76/x
  3. Step 3: Cross multiply
    806.08x = 1,207.59 × 675.76
  4. Step 4: Simplify right side
    806.08x = 816,041.02
  5. Step 5: Solve for x
    x = 816,041.02/806.08
  6. Step 6: Final answer
    x = 1,012.36

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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.