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Finding the Fourth Proportional to 1,231.79, 1,848.27 and 903.06

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Solution

The fourth proportional to 1,231.79, 1,848.27 and 903.06 is: 1,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.79 : 1,848.27 = 903.06 : x
  2. Step 2: Convert to fraction form
    1,231.79/1,848.27 = 903.06/x
  3. Step 3: Cross multiply
    1,231.79x = 1,848.27 × 903.06
  4. Step 4: Simplify right side
    1,231.79x = 1,669,098.71
  5. Step 5: Solve for x
    x = 1,669,098.71/1,231.79
  6. Step 6: Final answer
    x = 1,355.02

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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.