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Finding the Fourth Proportional to 438, 603.68 and 403.12

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Solution

The fourth proportional to 438, 603.68 and 403.12 is: 555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    438 : 603.68 = 403.12 : x
  2. Step 2: Convert to fraction form
    438/603.68 = 403.12/x
  3. Step 3: Cross multiply
    438x = 603.68 × 403.12
  4. Step 4: Simplify right side
    438x = 243,355.48
  5. Step 5: Solve for x
    x = 243,355.48/438
  6. Step 6: Final answer
    x = 555.61

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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.