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Finding the Fourth Proportional to 467.53, 697.74 and 448.69

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Solution

The fourth proportional to 467.53, 697.74 and 448.69 is: 669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.53 : 697.74 = 448.69 : x
  2. Step 2: Convert to fraction form
    467.53/697.74 = 448.69/x
  3. Step 3: Cross multiply
    467.53x = 697.74 × 448.69
  4. Step 4: Simplify right side
    467.53x = 313,068.96
  5. Step 5: Solve for x
    x = 313,068.96/467.53
  6. Step 6: Final answer
    x = 669.62

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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.