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Finding the Fourth Proportional to 464.29, 699.71 and 436.93

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Solution

The fourth proportional to 464.29, 699.71 and 436.93 is: 658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.29 : 699.71 = 436.93 : x
  2. Step 2: Convert to fraction form
    464.29/699.71 = 436.93/x
  3. Step 3: Cross multiply
    464.29x = 699.71 × 436.93
  4. Step 4: Simplify right side
    464.29x = 305,724.29
  5. Step 5: Solve for x
    x = 305,724.29/464.29
  6. Step 6: Final answer
    x = 658.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.