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Finding the Fourth Proportional to 1,628.55, 2,442.72 and 703.65

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Solution

The fourth proportional to 1,628.55, 2,442.72 and 703.65 is: 1,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.55 : 2,442.72 = 703.65 : x
  2. Step 2: Convert to fraction form
    1,628.55/2,442.72 = 703.65/x
  3. Step 3: Cross multiply
    1,628.55x = 2,442.72 × 703.65
  4. Step 4: Simplify right side
    1,628.55x = 1,718,819.93
  5. Step 5: Solve for x
    x = 1,718,819.93/1,628.55
  6. Step 6: Final answer
    x = 1,055.43

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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.