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Finding the Fourth Proportional to 464.04, 694 and 340.12

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Solution

The fourth proportional to 464.04, 694 and 340.12 is: 508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.04 : 694 = 340.12 : x
  2. Step 2: Convert to fraction form
    464.04/694 = 340.12/x
  3. Step 3: Cross multiply
    464.04x = 694 × 340.12
  4. Step 4: Simplify right side
    464.04x = 236,043.28
  5. Step 5: Solve for x
    x = 236,043.28/464.04
  6. Step 6: Final answer
    x = 508.67

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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.