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Finding the Fourth Proportional to 463.34, 638.24 and 384.53

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Solution

The fourth proportional to 463.34, 638.24 and 384.53 is: 529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.34 : 638.24 = 384.53 : x
  2. Step 2: Convert to fraction form
    463.34/638.24 = 384.53/x
  3. Step 3: Cross multiply
    463.34x = 638.24 × 384.53
  4. Step 4: Simplify right side
    463.34x = 245,417.31
  5. Step 5: Solve for x
    x = 245,417.31/463.34
  6. Step 6: Final answer
    x = 529.67

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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.