Home / 1,409.74-1,945.08-820.15

Finding the Fourth Proportional to 1,409.74, 1,945.08 and 820.15

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Solution

The fourth proportional to 1,409.74, 1,945.08 and 820.15 is: 1,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.74 : 1,945.08 = 820.15 : x
  2. Step 2: Convert to fraction form
    1,409.74/1,945.08 = 820.15/x
  3. Step 3: Cross multiply
    1,409.74x = 1,945.08 × 820.15
  4. Step 4: Simplify right side
    1,409.74x = 1,595,252.50
  5. Step 5: Solve for x
    x = 1,595,252.50/1,409.74
  6. Step 6: Final answer
    x = 1,131.60

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1.5x scale

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.