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Finding the Fourth Proportional to 1,261.89, 1,893.46 and 569.07

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Solution

The fourth proportional to 1,261.89, 1,893.46 and 569.07 is: 853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.89 : 1,893.46 = 569.07 : x
  2. Step 2: Convert to fraction form
    1,261.89/1,893.46 = 569.07/x
  3. Step 3: Cross multiply
    1,261.89x = 1,893.46 × 569.07
  4. Step 4: Simplify right side
    1,261.89x = 1,077,501.81
  5. Step 5: Solve for x
    x = 1,077,501.81/1,261.89
  6. Step 6: Final answer
    x = 853.88

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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.