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Finding the Fourth Proportional to 1,303.58, 1,955.22 and 329.63

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Solution

The fourth proportional to 1,303.58, 1,955.22 and 329.63 is: 494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.58 : 1,955.22 = 329.63 : x
  2. Step 2: Convert to fraction form
    1,303.58/1,955.22 = 329.63/x
  3. Step 3: Cross multiply
    1,303.58x = 1,955.22 × 329.63
  4. Step 4: Simplify right side
    1,303.58x = 644,499.17
  5. Step 5: Solve for x
    x = 644,499.17/1,303.58
  6. Step 6: Final answer
    x = 494.41

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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.