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Finding the Fourth Proportional to 602.63, 898.67 and 548.31

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Solution

The fourth proportional to 602.63, 898.67 and 548.31 is: 817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.63 : 898.67 = 548.31 : x
  2. Step 2: Convert to fraction form
    602.63/898.67 = 548.31/x
  3. Step 3: Cross multiply
    602.63x = 898.67 × 548.31
  4. Step 4: Simplify right side
    602.63x = 492,747.01
  5. Step 5: Solve for x
    x = 492,747.01/602.63
  6. Step 6: Final answer
    x = 817.67

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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.