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Finding the Fourth Proportional to 1,322.52, 1,985.40 and 837.60

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Solution

The fourth proportional to 1,322.52, 1,985.40 and 837.60 is: 1,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.52 : 1,985.40 = 837.60 : x
  2. Step 2: Convert to fraction form
    1,322.52/1,985.40 = 837.60/x
  3. Step 3: Cross multiply
    1,322.52x = 1,985.40 × 837.60
  4. Step 4: Simplify right side
    1,322.52x = 1,662,971.04
  5. Step 5: Solve for x
    x = 1,662,971.04/1,322.52
  6. Step 6: Final answer
    x = 1,257.43

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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.