Home / 1,104.30-1,647.90-981.58

Finding the Fourth Proportional to 1,104.30, 1,647.90 and 981.58

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Solution

The fourth proportional to 1,104.30, 1,647.90 and 981.58 is: 1,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.30 : 1,647.90 = 981.58 : x
  2. Step 2: Convert to fraction form
    1,104.30/1,647.90 = 981.58/x
  3. Step 3: Cross multiply
    1,104.30x = 1,647.90 × 981.58
  4. Step 4: Simplify right side
    1,104.30x = 1,617,545.68
  5. Step 5: Solve for x
    x = 1,617,545.68/1,104.30
  6. Step 6: Final answer
    x = 1,464.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.