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Finding the Fourth Proportional to 918.16, 1,268.16 and 669.08

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Solution

The fourth proportional to 918.16, 1,268.16 and 669.08 is: 924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.16 : 1,268.16 = 669.08 : x
  2. Step 2: Convert to fraction form
    918.16/1,268.16 = 669.08/x
  3. Step 3: Cross multiply
    918.16x = 1,268.16 × 669.08
  4. Step 4: Simplify right side
    918.16x = 848,500.49
  5. Step 5: Solve for x
    x = 848,500.49/918.16
  6. Step 6: Final answer
    x = 924.13

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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.