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Finding the Fourth Proportional to 965.93, 1,449.50 and 874.80

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Solution

The fourth proportional to 965.93, 1,449.50 and 874.80 is: 1,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.93 : 1,449.50 = 874.80 : x
  2. Step 2: Convert to fraction form
    965.93/1,449.50 = 874.80/x
  3. Step 3: Cross multiply
    965.93x = 1,449.50 × 874.80
  4. Step 4: Simplify right side
    965.93x = 1,268,018.23
  5. Step 5: Solve for x
    x = 1,268,018.23/965.93
  6. Step 6: Final answer
    x = 1,312.75

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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.