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Finding the Fourth Proportional to 918.76, 1,268.26 and 569.64

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Solution

The fourth proportional to 918.76, 1,268.26 and 569.64 is: 786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.76 : 1,268.26 = 569.64 : x
  2. Step 2: Convert to fraction form
    918.76/1,268.26 = 569.64/x
  3. Step 3: Cross multiply
    918.76x = 1,268.26 × 569.64
  4. Step 4: Simplify right side
    918.76x = 722,451.63
  5. Step 5: Solve for x
    x = 722,451.63/918.76
  6. Step 6: Final answer
    x = 786.33

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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.