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Finding the Fourth Proportional to 1,462.85, 2,018.71 and 903.09

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Solution

The fourth proportional to 1,462.85, 2,018.71 and 903.09 is: 1,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.85 : 2,018.71 = 903.09 : x
  2. Step 2: Convert to fraction form
    1,462.85/2,018.71 = 903.09/x
  3. Step 3: Cross multiply
    1,462.85x = 2,018.71 × 903.09
  4. Step 4: Simplify right side
    1,462.85x = 1,823,076.81
  5. Step 5: Solve for x
    x = 1,823,076.81/1,462.85
  6. Step 6: Final answer
    x = 1,246.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.