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Finding the Fourth Proportional to 806.40, 1,206.72 and 550.08

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Solution

The fourth proportional to 806.40, 1,206.72 and 550.08 is: 823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.40 : 1,206.72 = 550.08 : x
  2. Step 2: Convert to fraction form
    806.40/1,206.72 = 550.08/x
  3. Step 3: Cross multiply
    806.40x = 1,206.72 × 550.08
  4. Step 4: Simplify right side
    806.40x = 663,792.54
  5. Step 5: Solve for x
    x = 663,792.54/806.40
  6. Step 6: Final answer
    x = 823.16

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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.