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Finding the Fourth Proportional to 464.13, 632.32 and 454.64

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Solution

The fourth proportional to 464.13, 632.32 and 454.64 is: 619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.13 : 632.32 = 454.64 : x
  2. Step 2: Convert to fraction form
    464.13/632.32 = 454.64/x
  3. Step 3: Cross multiply
    464.13x = 632.32 × 454.64
  4. Step 4: Simplify right side
    464.13x = 287,478.41
  5. Step 5: Solve for x
    x = 287,478.41/464.13
  6. Step 6: Final answer
    x = 619.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.