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Finding the Fourth Proportional to 454.17, 681.16 and 377.62

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Solution

The fourth proportional to 454.17, 681.16 and 377.62 is: 566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.17 : 681.16 = 377.62 : x
  2. Step 2: Convert to fraction form
    454.17/681.16 = 377.62/x
  3. Step 3: Cross multiply
    454.17x = 681.16 × 377.62
  4. Step 4: Simplify right side
    454.17x = 257,222.24
  5. Step 5: Solve for x
    x = 257,222.24/454.17
  6. Step 6: Final answer
    x = 566.36

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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.