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Finding the Fourth Proportional to 464.69, 693.94 and 437.69

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Solution

The fourth proportional to 464.69, 693.94 and 437.69 is: 653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.69 : 693.94 = 437.69 : x
  2. Step 2: Convert to fraction form
    464.69/693.94 = 437.69/x
  3. Step 3: Cross multiply
    464.69x = 693.94 × 437.69
  4. Step 4: Simplify right side
    464.69x = 303,730.60
  5. Step 5: Solve for x
    x = 303,730.60/464.69
  6. Step 6: Final answer
    x = 653.62

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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.