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Finding the Fourth Proportional to 2,200.84, 3,301.26 and 557.51

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Solution

The fourth proportional to 2,200.84, 3,301.26 and 557.51 is: 836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.84 : 3,301.26 = 557.51 : x
  2. Step 2: Convert to fraction form
    2,200.84/3,301.26 = 557.51/x
  3. Step 3: Cross multiply
    2,200.84x = 3,301.26 × 557.51
  4. Step 4: Simplify right side
    2,200.84x = 1,840,498.81
  5. Step 5: Solve for x
    x = 1,840,498.81/2,200.84
  6. Step 6: Final answer
    x = 836.27

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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.