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Finding the Fourth Proportional to 1,314.84, 1,972.28 and 327.66

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Solution

The fourth proportional to 1,314.84, 1,972.28 and 327.66 is: 491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.84 : 1,972.28 = 327.66 : x
  2. Step 2: Convert to fraction form
    1,314.84/1,972.28 = 327.66/x
  3. Step 3: Cross multiply
    1,314.84x = 1,972.28 × 327.66
  4. Step 4: Simplify right side
    1,314.84x = 646,230.69
  5. Step 5: Solve for x
    x = 646,230.69/1,314.84
  6. Step 6: Final answer
    x = 491.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.