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Finding the Fourth Proportional to 438.26, 654.64 and 430.16

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Solution

The fourth proportional to 438.26, 654.64 and 430.16 is: 642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.26 : 654.64 = 430.16 : x
  2. Step 2: Convert to fraction form
    438.26/654.64 = 430.16/x
  3. Step 3: Cross multiply
    438.26x = 654.64 × 430.16
  4. Step 4: Simplify right side
    438.26x = 281,599.94
  5. Step 5: Solve for x
    x = 281,599.94/438.26
  6. Step 6: Final answer
    x = 642.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.