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Finding the Fourth Proportional to 1,303.66, 1,955.19 and 379

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Solution

The fourth proportional to 1,303.66, 1,955.19 and 379 is: 568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.66 : 1,955.19 = 379 : x
  2. Step 2: Convert to fraction form
    1,303.66/1,955.19 = 379/x
  3. Step 3: Cross multiply
    1,303.66x = 1,955.19 × 379
  4. Step 4: Simplify right side
    1,303.66x = 741,017.01
  5. Step 5: Solve for x
    x = 741,017.01/1,303.66
  6. Step 6: Final answer
    x = 568.41

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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.