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Finding the Fourth Proportional to 1,320.95, 1,981.76 and 396.53

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Solution

The fourth proportional to 1,320.95, 1,981.76 and 396.53 is: 594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.95 : 1,981.76 = 396.53 : x
  2. Step 2: Convert to fraction form
    1,320.95/1,981.76 = 396.53/x
  3. Step 3: Cross multiply
    1,320.95x = 1,981.76 × 396.53
  4. Step 4: Simplify right side
    1,320.95x = 785,821.35
  5. Step 5: Solve for x
    x = 785,821.35/1,320.95
  6. Step 6: Final answer
    x = 594.89

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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.