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Finding the Fourth Proportional to 2,300.43, 3,450.54 and 569.07

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Solution

The fourth proportional to 2,300.43, 3,450.54 and 569.07 is: 853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.43 : 3,450.54 = 569.07 : x
  2. Step 2: Convert to fraction form
    2,300.43/3,450.54 = 569.07/x
  3. Step 3: Cross multiply
    2,300.43x = 3,450.54 × 569.07
  4. Step 4: Simplify right side
    2,300.43x = 1,963,598.80
  5. Step 5: Solve for x
    x = 1,963,598.80/2,300.43
  6. Step 6: Final answer
    x = 853.58

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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.