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Finding the Fourth Proportional to 1,628.20, 2,442.20 and 703.11

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Solution

The fourth proportional to 1,628.20, 2,442.20 and 703.11 is: 1,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.20 : 2,442.20 = 703.11 : x
  2. Step 2: Convert to fraction form
    1,628.20/2,442.20 = 703.11/x
  3. Step 3: Cross multiply
    1,628.20x = 2,442.20 × 703.11
  4. Step 4: Simplify right side
    1,628.20x = 1,717,122.57
  5. Step 5: Solve for x
    x = 1,717,122.57/1,628.20
  6. Step 6: Final answer
    x = 1,054.62

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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.