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Finding the Fourth Proportional to 918.64, 1,371.53 and 832.58

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Solution

The fourth proportional to 918.64, 1,371.53 and 832.58 is: 1,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.64 : 1,371.53 = 832.58 : x
  2. Step 2: Convert to fraction form
    918.64/1,371.53 = 832.58/x
  3. Step 3: Cross multiply
    918.64x = 1,371.53 × 832.58
  4. Step 4: Simplify right side
    918.64x = 1,141,908.81
  5. Step 5: Solve for x
    x = 1,141,908.81/918.64
  6. Step 6: Final answer
    x = 1,243.04

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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.