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Finding the Fourth Proportional to 1,809.44, 2,712.34 and 714.58

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Solution

The fourth proportional to 1,809.44, 2,712.34 and 714.58 is: 1,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.44 : 2,712.34 = 714.58 : x
  2. Step 2: Convert to fraction form
    1,809.44/2,712.34 = 714.58/x
  3. Step 3: Cross multiply
    1,809.44x = 2,712.34 × 714.58
  4. Step 4: Simplify right side
    1,809.44x = 1,938,183.92
  5. Step 5: Solve for x
    x = 1,938,183.92/1,809.44
  6. Step 6: Final answer
    x = 1,071.15

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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.