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Finding the Fourth Proportional to 647.54, 894 and 426.88

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Solution

The fourth proportional to 647.54, 894 and 426.88 is: 589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.54 : 894 = 426.88 : x
  2. Step 2: Convert to fraction form
    647.54/894 = 426.88/x
  3. Step 3: Cross multiply
    647.54x = 894 × 426.88
  4. Step 4: Simplify right side
    647.54x = 381,626.25
  5. Step 5: Solve for x
    x = 381,626.25/647.54
  6. Step 6: Final answer
    x = 589.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.