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Finding the Fourth Proportional to 1,340.14, 1,848.53 and 966.53

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Solution

The fourth proportional to 1,340.14, 1,848.53 and 966.53 is: 1,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.14 : 1,848.53 = 966.53 : x
  2. Step 2: Convert to fraction form
    1,340.14/1,848.53 = 966.53/x
  3. Step 3: Cross multiply
    1,340.14x = 1,848.53 × 966.53
  4. Step 4: Simplify right side
    1,340.14x = 1,786,659.81
  5. Step 5: Solve for x
    x = 1,786,659.81/1,340.14
  6. Step 6: Final answer
    x = 1,333.19

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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.