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Finding the Fourth Proportional to 409.51, 610.43 and 386.02

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Solution

The fourth proportional to 409.51, 610.43 and 386.02 is: 575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.51 : 610.43 = 386.02 : x
  2. Step 2: Convert to fraction form
    409.51/610.43 = 386.02/x
  3. Step 3: Cross multiply
    409.51x = 610.43 × 386.02
  4. Step 4: Simplify right side
    409.51x = 235,638.19
  5. Step 5: Solve for x
    x = 235,638.19/409.51
  6. Step 6: Final answer
    x = 575.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.