Home / 1,021.06-1,409.10-578.95

Finding the Fourth Proportional to 1,021.06, 1,409.10 and 578.95

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Solution

The fourth proportional to 1,021.06, 1,409.10 and 578.95 is: 798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.06 : 1,409.10 = 578.95 : x
  2. Step 2: Convert to fraction form
    1,021.06/1,409.10 = 578.95/x
  3. Step 3: Cross multiply
    1,021.06x = 1,409.10 × 578.95
  4. Step 4: Simplify right side
    1,021.06x = 815,788.50
  5. Step 5: Solve for x
    x = 815,788.50/1,021.06
  6. Step 6: Final answer
    x = 798.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.