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Finding the Fourth Proportional to 488.40, 734.40 and 409.20

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Solution

The fourth proportional to 488.40, 734.40 and 409.20 is: 615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.40 : 734.40 = 409.20 : x
  2. Step 2: Convert to fraction form
    488.40/734.40 = 409.20/x
  3. Step 3: Cross multiply
    488.40x = 734.40 × 409.20
  4. Step 4: Simplify right side
    488.40x = 300,516.48
  5. Step 5: Solve for x
    x = 300,516.48/488.40
  6. Step 6: Final answer
    x = 615.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.