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Finding the Fourth Proportional to 2,415.68, 3,623.54 and 684.30

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Solution

The fourth proportional to 2,415.68, 3,623.54 and 684.30 is: 1,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.68 : 3,623.54 = 684.30 : x
  2. Step 2: Convert to fraction form
    2,415.68/3,623.54 = 684.30/x
  3. Step 3: Cross multiply
    2,415.68x = 3,623.54 × 684.30
  4. Step 4: Simplify right side
    2,415.68x = 2,479,585.00
  5. Step 5: Solve for x
    x = 2,479,585.00/2,415.68
  6. Step 6: Final answer
    x = 1,026.46

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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.