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Finding the Fourth Proportional to 1,539.51, 2,309.28 and 385.26

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Solution

The fourth proportional to 1,539.51, 2,309.28 and 385.26 is: 577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.51 : 2,309.28 = 385.26 : x
  2. Step 2: Convert to fraction form
    1,539.51/2,309.28 = 385.26/x
  3. Step 3: Cross multiply
    1,539.51x = 2,309.28 × 385.26
  4. Step 4: Simplify right side
    1,539.51x = 889,673.21
  5. Step 5: Solve for x
    x = 889,673.21/1,539.51
  6. Step 6: Final answer
    x = 577.89

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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.