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Finding the Fourth Proportional to 1,313.80, 1,971.78 and 931.48

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Solution

The fourth proportional to 1,313.80, 1,971.78 and 931.48 is: 1,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.80 : 1,971.78 = 931.48 : x
  2. Step 2: Convert to fraction form
    1,313.80/1,971.78 = 931.48/x
  3. Step 3: Cross multiply
    1,313.80x = 1,971.78 × 931.48
  4. Step 4: Simplify right side
    1,313.80x = 1,836,673.63
  5. Step 5: Solve for x
    x = 1,836,673.63/1,313.80
  6. Step 6: Final answer
    x = 1,397.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.