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Finding the Fourth Proportional to 454.98, 677.96 and 432.95

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Solution

The fourth proportional to 454.98, 677.96 and 432.95 is: 645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.98 : 677.96 = 432.95 : x
  2. Step 2: Convert to fraction form
    454.98/677.96 = 432.95/x
  3. Step 3: Cross multiply
    454.98x = 677.96 × 432.95
  4. Step 4: Simplify right side
    454.98x = 293,518.85
  5. Step 5: Solve for x
    x = 293,518.85/454.98
  6. Step 6: Final answer
    x = 645.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.