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Finding the Fourth Proportional to 1,321.59, 1,981.80 and 396.84

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Solution

The fourth proportional to 1,321.59, 1,981.80 and 396.84 is: 595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.59 : 1,981.80 = 396.84 : x
  2. Step 2: Convert to fraction form
    1,321.59/1,981.80 = 396.84/x
  3. Step 3: Cross multiply
    1,321.59x = 1,981.80 × 396.84
  4. Step 4: Simplify right side
    1,321.59x = 786,457.51
  5. Step 5: Solve for x
    x = 786,457.51/1,321.59
  6. Step 6: Final answer
    x = 595.08

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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.