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Finding the Fourth Proportional to 1,268.49, 1,748.54 and 953.34

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Solution

The fourth proportional to 1,268.49, 1,748.54 and 953.34 is: 1,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.49 : 1,748.54 = 953.34 : x
  2. Step 2: Convert to fraction form
    1,268.49/1,748.54 = 953.34/x
  3. Step 3: Cross multiply
    1,268.49x = 1,748.54 × 953.34
  4. Step 4: Simplify right side
    1,268.49x = 1,666,948.36
  5. Step 5: Solve for x
    x = 1,666,948.36/1,268.49
  6. Step 6: Final answer
    x = 1,314.12

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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.