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Finding the Fourth Proportional to 1,554.68, 2,329.82 and 861.67

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Solution

The fourth proportional to 1,554.68, 2,329.82 and 861.67 is: 1,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.68 : 2,329.82 = 861.67 : x
  2. Step 2: Convert to fraction form
    1,554.68/2,329.82 = 861.67/x
  3. Step 3: Cross multiply
    1,554.68x = 2,329.82 × 861.67
  4. Step 4: Simplify right side
    1,554.68x = 2,007,536.00
  5. Step 5: Solve for x
    x = 2,007,536.00/1,554.68
  6. Step 6: Final answer
    x = 1,291.29

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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.