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Finding the Fourth Proportional to 807.55, 1,205.83 and 785.68

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Solution

The fourth proportional to 807.55, 1,205.83 and 785.68 is: 1,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.55 : 1,205.83 = 785.68 : x
  2. Step 2: Convert to fraction form
    807.55/1,205.83 = 785.68/x
  3. Step 3: Cross multiply
    807.55x = 1,205.83 × 785.68
  4. Step 4: Simplify right side
    807.55x = 947,396.51
  5. Step 5: Solve for x
    x = 947,396.51/807.55
  6. Step 6: Final answer
    x = 1,173.17

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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.