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Finding the Fourth Proportional to 1,554.95, 2,330.23 and 774.21

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Solution

The fourth proportional to 1,554.95, 2,330.23 and 774.21 is: 1,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.95 : 2,330.23 = 774.21 : x
  2. Step 2: Convert to fraction form
    1,554.95/2,330.23 = 774.21/x
  3. Step 3: Cross multiply
    1,554.95x = 2,330.23 × 774.21
  4. Step 4: Simplify right side
    1,554.95x = 1,804,087.37
  5. Step 5: Solve for x
    x = 1,804,087.37/1,554.95
  6. Step 6: Final answer
    x = 1,160.22

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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.