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Finding the Fourth Proportional to 456.36, 679.75 and 435.32

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Solution

The fourth proportional to 456.36, 679.75 and 435.32 is: 648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.36 : 679.75 = 435.32 : x
  2. Step 2: Convert to fraction form
    456.36/679.75 = 435.32/x
  3. Step 3: Cross multiply
    456.36x = 679.75 × 435.32
  4. Step 4: Simplify right side
    456.36x = 295,908.77
  5. Step 5: Solve for x
    x = 295,908.77/456.36
  6. Step 6: Final answer
    x = 648.41

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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.