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Finding the Fourth Proportional to 464.57, 693.75 and 437.57

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Solution

The fourth proportional to 464.57, 693.75 and 437.57 is: 653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.57 : 693.75 = 437.57 : x
  2. Step 2: Convert to fraction form
    464.57/693.75 = 437.57/x
  3. Step 3: Cross multiply
    464.57x = 693.75 × 437.57
  4. Step 4: Simplify right side
    464.57x = 303,560.72
  5. Step 5: Solve for x
    x = 303,560.72/464.57
  6. Step 6: Final answer
    x = 653.43

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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.