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Finding the Fourth Proportional to 806.90, 1,210.58 and 698.01

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Solution

The fourth proportional to 806.90, 1,210.58 and 698.01 is: 1,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.90 : 1,210.58 = 698.01 : x
  2. Step 2: Convert to fraction form
    806.90/1,210.58 = 698.01/x
  3. Step 3: Cross multiply
    806.90x = 1,210.58 × 698.01
  4. Step 4: Simplify right side
    806.90x = 844,993.46
  5. Step 5: Solve for x
    x = 844,993.46/806.90
  6. Step 6: Final answer
    x = 1,047.22

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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.