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Finding the Fourth Proportional to 1,677.07, 2,314.33 and 931.03

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Solution

The fourth proportional to 1,677.07, 2,314.33 and 931.03 is: 1,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.07 : 2,314.33 = 931.03 : x
  2. Step 2: Convert to fraction form
    1,677.07/2,314.33 = 931.03/x
  3. Step 3: Cross multiply
    1,677.07x = 2,314.33 × 931.03
  4. Step 4: Simplify right side
    1,677.07x = 2,154,710.66
  5. Step 5: Solve for x
    x = 2,154,710.66/1,677.07
  6. Step 6: Final answer
    x = 1,284.81

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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.