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Finding the Fourth Proportional to 463.98, 696.03 and 341.01

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Solution

The fourth proportional to 463.98, 696.03 and 341.01 is: 511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.98 : 696.03 = 341.01 : x
  2. Step 2: Convert to fraction form
    463.98/696.03 = 341.01/x
  3. Step 3: Cross multiply
    463.98x = 696.03 × 341.01
  4. Step 4: Simplify right side
    463.98x = 237,353.19
  5. Step 5: Solve for x
    x = 237,353.19/463.98
  6. Step 6: Final answer
    x = 511.56

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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.