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Finding the Fourth Proportional to 1,246.34, 1,719.90 and 748.69

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Solution

The fourth proportional to 1,246.34, 1,719.90 and 748.69 is: 1,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.34 : 1,719.90 = 748.69 : x
  2. Step 2: Convert to fraction form
    1,246.34/1,719.90 = 748.69/x
  3. Step 3: Cross multiply
    1,246.34x = 1,719.90 × 748.69
  4. Step 4: Simplify right side
    1,246.34x = 1,287,667.63
  5. Step 5: Solve for x
    x = 1,287,667.63/1,246.34
  6. Step 6: Final answer
    x = 1,033.16

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1.5x scale

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.