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Finding the Fourth Proportional to 806.25, 1,210.24 and 612.51

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Solution

The fourth proportional to 806.25, 1,210.24 and 612.51 is: 919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.25 : 1,210.24 = 612.51 : x
  2. Step 2: Convert to fraction form
    806.25/1,210.24 = 612.51/x
  3. Step 3: Cross multiply
    806.25x = 1,210.24 × 612.51
  4. Step 4: Simplify right side
    806.25x = 741,284.10
  5. Step 5: Solve for x
    x = 741,284.10/806.25
  6. Step 6: Final answer
    x = 919.42

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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.