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Finding the Fourth Proportional to 807.47, 1,208.86 and 684.08

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Solution

The fourth proportional to 807.47, 1,208.86 and 684.08 is: 1,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.47 : 1,208.86 = 684.08 : x
  2. Step 2: Convert to fraction form
    807.47/1,208.86 = 684.08/x
  3. Step 3: Cross multiply
    807.47x = 1,208.86 × 684.08
  4. Step 4: Simplify right side
    807.47x = 826,956.95
  5. Step 5: Solve for x
    x = 826,956.95/807.47
  6. Step 6: Final answer
    x = 1,024.13

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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.