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Finding the Fourth Proportional to 462.67, 637.59 and 384.10

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Solution

The fourth proportional to 462.67, 637.59 and 384.10 is: 529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.67 : 637.59 = 384.10 : x
  2. Step 2: Convert to fraction form
    462.67/637.59 = 384.10/x
  3. Step 3: Cross multiply
    462.67x = 637.59 × 384.10
  4. Step 4: Simplify right side
    462.67x = 244,898.32
  5. Step 5: Solve for x
    x = 244,898.32/462.67
  6. Step 6: Final answer
    x = 529.32

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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.