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Finding the Fourth Proportional to 918.77, 1,268.81 and 785.21

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Solution

The fourth proportional to 918.77, 1,268.81 and 785.21 is: 1,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.77 : 1,268.81 = 785.21 : x
  2. Step 2: Convert to fraction form
    918.77/1,268.81 = 785.21/x
  3. Step 3: Cross multiply
    918.77x = 1,268.81 × 785.21
  4. Step 4: Simplify right side
    918.77x = 996,281.55
  5. Step 5: Solve for x
    x = 996,281.55/918.77
  6. Step 6: Final answer
    x = 1,084.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.