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Finding the Fourth Proportional to 1,554.08, 2,329.43 and 774.66

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Solution

The fourth proportional to 1,554.08, 2,329.43 and 774.66 is: 1,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.08 : 2,329.43 = 774.66 : x
  2. Step 2: Convert to fraction form
    1,554.08/2,329.43 = 774.66/x
  3. Step 3: Cross multiply
    1,554.08x = 2,329.43 × 774.66
  4. Step 4: Simplify right side
    1,554.08x = 1,804,518.18
  5. Step 5: Solve for x
    x = 1,804,518.18/1,554.08
  6. Step 6: Final answer
    x = 1,161.15

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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.