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Finding the Fourth Proportional to 469.23, 651.84 and 464.91

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Solution

The fourth proportional to 469.23, 651.84 and 464.91 is: 645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.23 : 651.84 = 464.91 : x
  2. Step 2: Convert to fraction form
    469.23/651.84 = 464.91/x
  3. Step 3: Cross multiply
    469.23x = 651.84 × 464.91
  4. Step 4: Simplify right side
    469.23x = 303,046.93
  5. Step 5: Solve for x
    x = 303,046.93/469.23
  6. Step 6: Final answer
    x = 645.84

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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.