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Finding the Fourth Proportional to 1,648.35, 2,275.46 and 1,051.64

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Solution

The fourth proportional to 1,648.35, 2,275.46 and 1,051.64 is: 1,451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.35 : 2,275.46 = 1,051.64 : x
  2. Step 2: Convert to fraction form
    1,648.35/2,275.46 = 1,051.64/x
  3. Step 3: Cross multiply
    1,648.35x = 2,275.46 × 1,051.64
  4. Step 4: Simplify right side
    1,648.35x = 2,392,964.75
  5. Step 5: Solve for x
    x = 2,392,964.75/1,648.35
  6. Step 6: Final answer
    x = 1,451.73

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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.