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Finding the Fourth Proportional to 462.02, 695.72 and 341.12

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Solution

The fourth proportional to 462.02, 695.72 and 341.12 is: 513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.02 : 695.72 = 341.12 : x
  2. Step 2: Convert to fraction form
    462.02/695.72 = 341.12/x
  3. Step 3: Cross multiply
    462.02x = 695.72 × 341.12
  4. Step 4: Simplify right side
    462.02x = 237,324.04
  5. Step 5: Solve for x
    x = 237,324.04/462.02
  6. Step 6: Final answer
    x = 513.67

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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.