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Finding the Fourth Proportional to 2,032.58, 3,048.55 and 645.73

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Solution

The fourth proportional to 2,032.58, 3,048.55 and 645.73 is: 968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.58 : 3,048.55 = 645.73 : x
  2. Step 2: Convert to fraction form
    2,032.58/3,048.55 = 645.73/x
  3. Step 3: Cross multiply
    2,032.58x = 3,048.55 × 645.73
  4. Step 4: Simplify right side
    2,032.58x = 1,968,549.43
  5. Step 5: Solve for x
    x = 1,968,549.43/2,032.58
  6. Step 6: Final answer
    x = 968.50

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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.