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Finding the Fourth Proportional to 927.03, 1,390.51 and 903.78

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Solution

The fourth proportional to 927.03, 1,390.51 and 903.78 is: 1,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.03 : 1,390.51 = 903.78 : x
  2. Step 2: Convert to fraction form
    927.03/1,390.51 = 903.78/x
  3. Step 3: Cross multiply
    927.03x = 1,390.51 × 903.78
  4. Step 4: Simplify right side
    927.03x = 1,256,715.13
  5. Step 5: Solve for x
    x = 1,256,715.13/927.03
  6. Step 6: Final answer
    x = 1,355.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.