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Finding the Fourth Proportional to 1,320.12, 1,980.54 and 454.68

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Solution

The fourth proportional to 1,320.12, 1,980.54 and 454.68 is: 682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.12 : 1,980.54 = 454.68 : x
  2. Step 2: Convert to fraction form
    1,320.12/1,980.54 = 454.68/x
  3. Step 3: Cross multiply
    1,320.12x = 1,980.54 × 454.68
  4. Step 4: Simplify right side
    1,320.12x = 900,511.93
  5. Step 5: Solve for x
    x = 900,511.93/1,320.12
  6. Step 6: Final answer
    x = 682.14

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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.