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Finding the Fourth Proportional to 1,054.38, 1,453.69 and 864.62

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Solution

The fourth proportional to 1,054.38, 1,453.69 and 864.62 is: 1,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.38 : 1,453.69 = 864.62 : x
  2. Step 2: Convert to fraction form
    1,054.38/1,453.69 = 864.62/x
  3. Step 3: Cross multiply
    1,054.38x = 1,453.69 × 864.62
  4. Step 4: Simplify right side
    1,054.38x = 1,256,888.76
  5. Step 5: Solve for x
    x = 1,256,888.76/1,054.38
  6. Step 6: Final answer
    x = 1,192.07

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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.