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Finding the Fourth Proportional to 438.37, 662.52 and 430.81

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Solution

The fourth proportional to 438.37, 662.52 and 430.81 is: 651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.37 : 662.52 = 430.81 : x
  2. Step 2: Convert to fraction form
    438.37/662.52 = 430.81/x
  3. Step 3: Cross multiply
    438.37x = 662.52 × 430.81
  4. Step 4: Simplify right side
    438.37x = 285,420.20
  5. Step 5: Solve for x
    x = 285,420.20/438.37
  6. Step 6: Final answer
    x = 651.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.