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Finding the Fourth Proportional to 464.72, 697.88 and 412.77

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Solution

The fourth proportional to 464.72, 697.88 and 412.77 is: 619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.72 : 697.88 = 412.77 : x
  2. Step 2: Convert to fraction form
    464.72/697.88 = 412.77/x
  3. Step 3: Cross multiply
    464.72x = 697.88 × 412.77
  4. Step 4: Simplify right side
    464.72x = 288,061.86
  5. Step 5: Solve for x
    x = 288,061.86/464.72
  6. Step 6: Final answer
    x = 619.87

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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.