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Finding the Fourth Proportional to 460.89, 687.89 and 386.37

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Solution

The fourth proportional to 460.89, 687.89 and 386.37 is: 576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.89 : 687.89 = 386.37 : x
  2. Step 2: Convert to fraction form
    460.89/687.89 = 386.37/x
  3. Step 3: Cross multiply
    460.89x = 687.89 × 386.37
  4. Step 4: Simplify right side
    460.89x = 265,781.03
  5. Step 5: Solve for x
    x = 265,781.03/460.89
  6. Step 6: Final answer
    x = 576.67

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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.