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Finding the Fourth Proportional to 486.77, 728.79 and 340.37

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Solution

The fourth proportional to 486.77, 728.79 and 340.37 is: 509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.77 : 728.79 = 340.37 : x
  2. Step 2: Convert to fraction form
    486.77/728.79 = 340.37/x
  3. Step 3: Cross multiply
    486.77x = 728.79 × 340.37
  4. Step 4: Simplify right side
    486.77x = 248,058.25
  5. Step 5: Solve for x
    x = 248,058.25/486.77
  6. Step 6: Final answer
    x = 509.60

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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.