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Finding the Fourth Proportional to 2,200.40, 3,300.59 and 556.94

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Solution

The fourth proportional to 2,200.40, 3,300.59 and 556.94 is: 835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.40 : 3,300.59 = 556.94 : x
  2. Step 2: Convert to fraction form
    2,200.40/3,300.59 = 556.94/x
  3. Step 3: Cross multiply
    2,200.40x = 3,300.59 × 556.94
  4. Step 4: Simplify right side
    2,200.40x = 1,838,240.24
  5. Step 5: Solve for x
    x = 1,838,240.24/2,200.40
  6. Step 6: Final answer
    x = 835.41

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1.5x scale

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.