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Finding the Fourth Proportional to 608.64, 914.88 and 438.72

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Solution

The fourth proportional to 608.64, 914.88 and 438.72 is: 659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.64 : 914.88 = 438.72 : x
  2. Step 2: Convert to fraction form
    608.64/914.88 = 438.72/x
  3. Step 3: Cross multiply
    608.64x = 914.88 × 438.72
  4. Step 4: Simplify right side
    608.64x = 401,376.15
  5. Step 5: Solve for x
    x = 401,376.15/608.64
  6. Step 6: Final answer
    x = 659.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.