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Finding the Fourth Proportional to 464.72, 697.19 and 456.98

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Solution

The fourth proportional to 464.72, 697.19 and 456.98 is: 685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.72 : 697.19 = 456.98 : x
  2. Step 2: Convert to fraction form
    464.72/697.19 = 456.98/x
  3. Step 3: Cross multiply
    464.72x = 697.19 × 456.98
  4. Step 4: Simplify right side
    464.72x = 318,596.12
  5. Step 5: Solve for x
    x = 318,596.12/464.72
  6. Step 6: Final answer
    x = 685.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.