Home / 1,215.48-1,677.74-822.50

Finding the Fourth Proportional to 1,215.48, 1,677.74 and 822.50

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Solution

The fourth proportional to 1,215.48, 1,677.74 and 822.50 is: 1,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.48 : 1,677.74 = 822.50 : x
  2. Step 2: Convert to fraction form
    1,215.48/1,677.74 = 822.50/x
  3. Step 3: Cross multiply
    1,215.48x = 1,677.74 × 822.50
  4. Step 4: Simplify right side
    1,215.48x = 1,379,928.65
  5. Step 5: Solve for x
    x = 1,379,928.65/1,215.48
  6. Step 6: Final answer
    x = 1,135.30

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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.