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Finding the Fourth Proportional to 918.64, 1,266.88 and 603.78

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Solution

The fourth proportional to 918.64, 1,266.88 and 603.78 is: 832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.64 : 1,266.88 = 603.78 : x
  2. Step 2: Convert to fraction form
    918.64/1,266.88 = 603.78/x
  3. Step 3: Cross multiply
    918.64x = 1,266.88 × 603.78
  4. Step 4: Simplify right side
    918.64x = 764,914.39
  5. Step 5: Solve for x
    x = 764,914.39/918.64
  6. Step 6: Final answer
    x = 832.66

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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.