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Finding the Fourth Proportional to 438.64, 654.22 and 434.16

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Solution

The fourth proportional to 438.64, 654.22 and 434.16 is: 647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.64 : 654.22 = 434.16 : x
  2. Step 2: Convert to fraction form
    438.64/654.22 = 434.16/x
  3. Step 3: Cross multiply
    438.64x = 654.22 × 434.16
  4. Step 4: Simplify right side
    438.64x = 284,036.16
  5. Step 5: Solve for x
    x = 284,036.16/438.64
  6. Step 6: Final answer
    x = 647.54

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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.