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Finding the Fourth Proportional to 808.54, 1,210.72 and 678.23

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Solution

The fourth proportional to 808.54, 1,210.72 and 678.23 is: 1,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.54 : 1,210.72 = 678.23 : x
  2. Step 2: Convert to fraction form
    808.54/1,210.72 = 678.23/x
  3. Step 3: Cross multiply
    808.54x = 1,210.72 × 678.23
  4. Step 4: Simplify right side
    808.54x = 821,145.30
  5. Step 5: Solve for x
    x = 821,145.30/808.54
  6. Step 6: Final answer
    x = 1,015.59

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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.