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Finding the Fourth Proportional to 807.42, 1,210.08 and 704.22

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Solution

The fourth proportional to 807.42, 1,210.08 and 704.22 is: 1,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.42 : 1,210.08 = 704.22 : x
  2. Step 2: Convert to fraction form
    807.42/1,210.08 = 704.22/x
  3. Step 3: Cross multiply
    807.42x = 1,210.08 × 704.22
  4. Step 4: Simplify right side
    807.42x = 852,162.54
  5. Step 5: Solve for x
    x = 852,162.54/807.42
  6. Step 6: Final answer
    x = 1,055.41

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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.