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Finding the Fourth Proportional to 464.54, 697.01 and 421.20

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Solution

The fourth proportional to 464.54, 697.01 and 421.20 is: 631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.54 : 697.01 = 421.20 : x
  2. Step 2: Convert to fraction form
    464.54/697.01 = 421.20/x
  3. Step 3: Cross multiply
    464.54x = 697.01 × 421.20
  4. Step 4: Simplify right side
    464.54x = 293,578.51
  5. Step 5: Solve for x
    x = 293,578.51/464.54
  6. Step 6: Final answer
    x = 631.98

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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.