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Finding the Fourth Proportional to 1,205.88, 1,654.72 and 1,095

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Solution

The fourth proportional to 1,205.88, 1,654.72 and 1,095 is: 1,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.88 : 1,654.72 = 1,095 : x
  2. Step 2: Convert to fraction form
    1,205.88/1,654.72 = 1,095/x
  3. Step 3: Cross multiply
    1,205.88x = 1,654.72 × 1,095
  4. Step 4: Simplify right side
    1,205.88x = 1,811,918.40
  5. Step 5: Solve for x
    x = 1,811,918.40/1,205.88
  6. Step 6: Final answer
    x = 1,502.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.