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Finding the Fourth Proportional to 1,263.34, 1,743.29 and 931.95

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Solution

The fourth proportional to 1,263.34, 1,743.29 and 931.95 is: 1,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.34 : 1,743.29 = 931.95 : x
  2. Step 2: Convert to fraction form
    1,263.34/1,743.29 = 931.95/x
  3. Step 3: Cross multiply
    1,263.34x = 1,743.29 × 931.95
  4. Step 4: Simplify right side
    1,263.34x = 1,624,645.74
  5. Step 5: Solve for x
    x = 1,624,645.74/1,263.34
  6. Step 6: Final answer
    x = 1,286.00

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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.