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Finding the Fourth Proportional to 438.40, 579.12 and 438.40

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Solution

The fourth proportional to 438.40, 579.12 and 438.40 is: 579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.40 : 579.12 = 438.40 : x
  2. Step 2: Convert to fraction form
    438.40/579.12 = 438.40/x
  3. Step 3: Cross multiply
    438.40x = 579.12 × 438.40
  4. Step 4: Simplify right side
    438.40x = 253,886.21
  5. Step 5: Solve for x
    x = 253,886.21/438.40
  6. Step 6: Final answer
    x = 579.12

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.