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Finding the Fourth Proportional to 2,286.95, 3,430.43 and 555.57

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Solution

The fourth proportional to 2,286.95, 3,430.43 and 555.57 is: 833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.95 : 3,430.43 = 555.57 : x
  2. Step 2: Convert to fraction form
    2,286.95/3,430.43 = 555.57/x
  3. Step 3: Cross multiply
    2,286.95x = 3,430.43 × 555.57
  4. Step 4: Simplify right side
    2,286.95x = 1,905,841.22
  5. Step 5: Solve for x
    x = 1,905,841.22/2,286.95
  6. Step 6: Final answer
    x = 833.36

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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.