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Finding the Fourth Proportional to 626.37, 864.02 and 427.19

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Solution

The fourth proportional to 626.37, 864.02 and 427.19 is: 589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.37 : 864.02 = 427.19 : x
  2. Step 2: Convert to fraction form
    626.37/864.02 = 427.19/x
  3. Step 3: Cross multiply
    626.37x = 864.02 × 427.19
  4. Step 4: Simplify right side
    626.37x = 369,094.25
  5. Step 5: Solve for x
    x = 369,094.25/626.37
  6. Step 6: Final answer
    x = 589.26

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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.