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Finding the Fourth Proportional to 450.98, 677.07 and 436.40

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Solution

The fourth proportional to 450.98, 677.07 and 436.40 is: 655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.98 : 677.07 = 436.40 : x
  2. Step 2: Convert to fraction form
    450.98/677.07 = 436.40/x
  3. Step 3: Cross multiply
    450.98x = 677.07 × 436.40
  4. Step 4: Simplify right side
    450.98x = 295,473.35
  5. Step 5: Solve for x
    x = 295,473.35/450.98
  6. Step 6: Final answer
    x = 655.18

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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.