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Finding the Fourth Proportional to 450.72, 677.16 and 388.08

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Solution

The fourth proportional to 450.72, 677.16 and 388.08 is: 583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.72 : 677.16 = 388.08 : x
  2. Step 2: Convert to fraction form
    450.72/677.16 = 388.08/x
  3. Step 3: Cross multiply
    450.72x = 677.16 × 388.08
  4. Step 4: Simplify right side
    450.72x = 262,792.25
  5. Step 5: Solve for x
    x = 262,792.25/450.72
  6. Step 6: Final answer
    x = 583.05

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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.