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Finding the Fourth Proportional to 1,554.58, 2,145.38 and 891.46

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Solution

The fourth proportional to 1,554.58, 2,145.38 and 891.46 is: 1,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.58 : 2,145.38 = 891.46 : x
  2. Step 2: Convert to fraction form
    1,554.58/2,145.38 = 891.46/x
  3. Step 3: Cross multiply
    1,554.58x = 2,145.38 × 891.46
  4. Step 4: Simplify right side
    1,554.58x = 1,912,520.45
  5. Step 5: Solve for x
    x = 1,912,520.45/1,554.58
  6. Step 6: Final answer
    x = 1,230.25

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1.5x scale

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.