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Finding the Fourth Proportional to 1,464.04, 2,018.28 and 965.86

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Solution

The fourth proportional to 1,464.04, 2,018.28 and 965.86 is: 1,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.04 : 2,018.28 = 965.86 : x
  2. Step 2: Convert to fraction form
    1,464.04/2,018.28 = 965.86/x
  3. Step 3: Cross multiply
    1,464.04x = 2,018.28 × 965.86
  4. Step 4: Simplify right side
    1,464.04x = 1,949,375.92
  5. Step 5: Solve for x
    x = 1,949,375.92/1,464.04
  6. Step 6: Final answer
    x = 1,331.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.