Home / 1,106.88-1,661.40-1,045.68

Finding the Fourth Proportional to 1,106.88, 1,661.40 and 1,045.68

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Solution

The fourth proportional to 1,106.88, 1,661.40 and 1,045.68 is: 1,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.88 : 1,661.40 = 1,045.68 : x
  2. Step 2: Convert to fraction form
    1,106.88/1,661.40 = 1,045.68/x
  3. Step 3: Cross multiply
    1,106.88x = 1,661.40 × 1,045.68
  4. Step 4: Simplify right side
    1,106.88x = 1,737,292.75
  5. Step 5: Solve for x
    x = 1,737,292.75/1,106.88
  6. Step 6: Final answer
    x = 1,569.54

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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.