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Finding the Fourth Proportional to 464.64, 637.44 and 435.20

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Solution

The fourth proportional to 464.64, 637.44 and 435.20 is: 597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.64 : 637.44 = 435.20 : x
  2. Step 2: Convert to fraction form
    464.64/637.44 = 435.20/x
  3. Step 3: Cross multiply
    464.64x = 637.44 × 435.20
  4. Step 4: Simplify right side
    464.64x = 277,413.89
  5. Step 5: Solve for x
    x = 277,413.89/464.64
  6. Step 6: Final answer
    x = 597.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.