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Finding the Fourth Proportional to 1,653.21, 2,479.60 and 960.25

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Solution

The fourth proportional to 1,653.21, 2,479.60 and 960.25 is: 1,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.21 : 2,479.60 = 960.25 : x
  2. Step 2: Convert to fraction form
    1,653.21/2,479.60 = 960.25/x
  3. Step 3: Cross multiply
    1,653.21x = 2,479.60 × 960.25
  4. Step 4: Simplify right side
    1,653.21x = 2,381,035.90
  5. Step 5: Solve for x
    x = 2,381,035.90/1,653.21
  6. Step 6: Final answer
    x = 1,440.25

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1.5x scale

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.