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Finding the Fourth Proportional to 469.36, 699.89 and 465.27

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Solution

The fourth proportional to 469.36, 699.89 and 465.27 is: 693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.36 : 699.89 = 465.27 : x
  2. Step 2: Convert to fraction form
    469.36/699.89 = 465.27/x
  3. Step 3: Cross multiply
    469.36x = 699.89 × 465.27
  4. Step 4: Simplify right side
    469.36x = 325,637.82
  5. Step 5: Solve for x
    x = 325,637.82/469.36
  6. Step 6: Final answer
    x = 693.79

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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.