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Finding the Fourth Proportional to 903.04, 1,243.20 and 807.68

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Solution

The fourth proportional to 903.04, 1,243.20 and 807.68 is: 1,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.04 : 1,243.20 = 807.68 : x
  2. Step 2: Convert to fraction form
    903.04/1,243.20 = 807.68/x
  3. Step 3: Cross multiply
    903.04x = 1,243.20 × 807.68
  4. Step 4: Simplify right side
    903.04x = 1,004,107.78
  5. Step 5: Solve for x
    x = 1,004,107.78/903.04
  6. Step 6: Final answer
    x = 1,111.92

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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.