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Finding the Fourth Proportional to 464.39, 696.04 and 258.65

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Solution

The fourth proportional to 464.39, 696.04 and 258.65 is: 387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.39 : 696.04 = 258.65 : x
  2. Step 2: Convert to fraction form
    464.39/696.04 = 258.65/x
  3. Step 3: Cross multiply
    464.39x = 696.04 × 258.65
  4. Step 4: Simplify right side
    464.39x = 180,025.97
  5. Step 5: Solve for x
    x = 180,025.97/464.39
  6. Step 6: Final answer
    x = 387.67

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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.