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Finding the Fourth Proportional to 469.20, 651.96 and 463.38

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Solution

The fourth proportional to 469.20, 651.96 and 463.38 is: 643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.20 : 651.96 = 463.38 : x
  2. Step 2: Convert to fraction form
    469.20/651.96 = 463.38/x
  3. Step 3: Cross multiply
    469.20x = 651.96 × 463.38
  4. Step 4: Simplify right side
    469.20x = 302,105.22
  5. Step 5: Solve for x
    x = 302,105.22/469.20
  6. Step 6: Final answer
    x = 643.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.