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Finding the Fourth Proportional to 1,676.93, 2,314.31 and 931.03

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Solution

The fourth proportional to 1,676.93, 2,314.31 and 931.03 is: 1,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.93 : 2,314.31 = 931.03 : x
  2. Step 2: Convert to fraction form
    1,676.93/2,314.31 = 931.03/x
  3. Step 3: Cross multiply
    1,676.93x = 2,314.31 × 931.03
  4. Step 4: Simplify right side
    1,676.93x = 2,154,681.60
  5. Step 5: Solve for x
    x = 2,154,681.60/1,676.93
  6. Step 6: Final answer
    x = 1,284.90

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Why These Related Problems?

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