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Finding the Fourth Proportional to 1,374.65, 1,898.56 and 931.78

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Solution

The fourth proportional to 1,374.65, 1,898.56 and 931.78 is: 1,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.65 : 1,898.56 = 931.78 : x
  2. Step 2: Convert to fraction form
    1,374.65/1,898.56 = 931.78/x
  3. Step 3: Cross multiply
    1,374.65x = 1,898.56 × 931.78
  4. Step 4: Simplify right side
    1,374.65x = 1,769,041.06
  5. Step 5: Solve for x
    x = 1,769,041.06/1,374.65
  6. Step 6: Final answer
    x = 1,286.91

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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.