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Finding the Fourth Proportional to 478.26, 655.65 and 454.77

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Solution

The fourth proportional to 478.26, 655.65 and 454.77 is: 623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.26 : 655.65 = 454.77 : x
  2. Step 2: Convert to fraction form
    478.26/655.65 = 454.77/x
  3. Step 3: Cross multiply
    478.26x = 655.65 × 454.77
  4. Step 4: Simplify right side
    478.26x = 298,169.95
  5. Step 5: Solve for x
    x = 298,169.95/478.26
  6. Step 6: Final answer
    x = 623.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.