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Finding the Fourth Proportional to 948.56, 1,420.68 and 903.92

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Solution

The fourth proportional to 948.56, 1,420.68 and 903.92 is: 1,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.56 : 1,420.68 = 903.92 : x
  2. Step 2: Convert to fraction form
    948.56/1,420.68 = 903.92/x
  3. Step 3: Cross multiply
    948.56x = 1,420.68 × 903.92
  4. Step 4: Simplify right side
    948.56x = 1,284,181.07
  5. Step 5: Solve for x
    x = 1,284,181.07/948.56
  6. Step 6: Final answer
    x = 1,353.82

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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.