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Finding the Fourth Proportional to 1,463.14, 2,018.55 and 931.88

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Solution

The fourth proportional to 1,463.14, 2,018.55 and 931.88 is: 1,285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.14 : 2,018.55 = 931.88 : x
  2. Step 2: Convert to fraction form
    1,463.14/2,018.55 = 931.88/x
  3. Step 3: Cross multiply
    1,463.14x = 2,018.55 × 931.88
  4. Step 4: Simplify right side
    1,463.14x = 1,881,046.37
  5. Step 5: Solve for x
    x = 1,881,046.37/1,463.14
  6. Step 6: Final answer
    x = 1,285.62

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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.