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Finding the Fourth Proportional to 1,034.69, 1,427.96 and 569.03

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Solution

The fourth proportional to 1,034.69, 1,427.96 and 569.03 is: 785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.69 : 1,427.96 = 569.03 : x
  2. Step 2: Convert to fraction form
    1,034.69/1,427.96 = 569.03/x
  3. Step 3: Cross multiply
    1,034.69x = 1,427.96 × 569.03
  4. Step 4: Simplify right side
    1,034.69x = 812,552.08
  5. Step 5: Solve for x
    x = 812,552.08/1,034.69
  6. Step 6: Final answer
    x = 785.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.