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Finding the Fourth Proportional to 807.48, 1,204.63 and 785.16

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Solution

The fourth proportional to 807.48, 1,204.63 and 785.16 is: 1,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.48 : 1,204.63 = 785.16 : x
  2. Step 2: Convert to fraction form
    807.48/1,204.63 = 785.16/x
  3. Step 3: Cross multiply
    807.48x = 1,204.63 × 785.16
  4. Step 4: Simplify right side
    807.48x = 945,827.29
  5. Step 5: Solve for x
    x = 945,827.29/807.48
  6. Step 6: Final answer
    x = 1,171.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.