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Finding the Fourth Proportional to 806.06, 1,210.35 and 685.10

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Solution

The fourth proportional to 806.06, 1,210.35 and 685.10 is: 1,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.06 : 1,210.35 = 685.10 : x
  2. Step 2: Convert to fraction form
    806.06/1,210.35 = 685.10/x
  3. Step 3: Cross multiply
    806.06x = 1,210.35 × 685.10
  4. Step 4: Simplify right side
    806.06x = 829,210.79
  5. Step 5: Solve for x
    x = 829,210.79/806.06
  6. Step 6: Final answer
    x = 1,028.72

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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.