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Finding the Fourth Proportional to 464.09, 695.89 and 411.45

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Solution

The fourth proportional to 464.09, 695.89 and 411.45 is: 616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.09 : 695.89 = 411.45 : x
  2. Step 2: Convert to fraction form
    464.09/695.89 = 411.45/x
  3. Step 3: Cross multiply
    464.09x = 695.89 × 411.45
  4. Step 4: Simplify right side
    464.09x = 286,323.94
  5. Step 5: Solve for x
    x = 286,323.94/464.09
  6. Step 6: Final answer
    x = 616.96

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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.