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Finding the Fourth Proportional to 1,677.30, 2,314.70 and 931.31

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Solution

The fourth proportional to 1,677.30, 2,314.70 and 931.31 is: 1,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.30 : 2,314.70 = 931.31 : x
  2. Step 2: Convert to fraction form
    1,677.30/2,314.70 = 931.31/x
  3. Step 3: Cross multiply
    1,677.30x = 2,314.70 × 931.31
  4. Step 4: Simplify right side
    1,677.30x = 2,155,687.03
  5. Step 5: Solve for x
    x = 2,155,687.03/1,677.30
  6. Step 6: Final answer
    x = 1,285.21

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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.