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Finding the Fourth Proportional to 1,314.25, 1,812.42 and 943.06

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Solution

The fourth proportional to 1,314.25, 1,812.42 and 943.06 is: 1,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.25 : 1,812.42 = 943.06 : x
  2. Step 2: Convert to fraction form
    1,314.25/1,812.42 = 943.06/x
  3. Step 3: Cross multiply
    1,314.25x = 1,812.42 × 943.06
  4. Step 4: Simplify right side
    1,314.25x = 1,709,220.81
  5. Step 5: Solve for x
    x = 1,709,220.81/1,314.25
  6. Step 6: Final answer
    x = 1,300.53

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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.