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Finding the Fourth Proportional to 464.20, 693.47 and 361.24

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Solution

The fourth proportional to 464.20, 693.47 and 361.24 is: 539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.20 : 693.47 = 361.24 : x
  2. Step 2: Convert to fraction form
    464.20/693.47 = 361.24/x
  3. Step 3: Cross multiply
    464.20x = 693.47 × 361.24
  4. Step 4: Simplify right side
    464.20x = 250,509.10
  5. Step 5: Solve for x
    x = 250,509.10/464.20
  6. Step 6: Final answer
    x = 539.66

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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.