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Finding the Fourth Proportional to 1,320.52, 1,980.60 and 442.98

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Solution

The fourth proportional to 1,320.52, 1,980.60 and 442.98 is: 664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.52 : 1,980.60 = 442.98 : x
  2. Step 2: Convert to fraction form
    1,320.52/1,980.60 = 442.98/x
  3. Step 3: Cross multiply
    1,320.52x = 1,980.60 × 442.98
  4. Step 4: Simplify right side
    1,320.52x = 877,369.80
  5. Step 5: Solve for x
    x = 877,369.80/1,320.52
  6. Step 6: Final answer
    x = 664.41

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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.