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Finding the Fourth Proportional to 457.17, 681.18 and 455.35

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Solution

The fourth proportional to 457.17, 681.18 and 455.35 is: 678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.17 : 681.18 = 455.35 : x
  2. Step 2: Convert to fraction form
    457.17/681.18 = 455.35/x
  3. Step 3: Cross multiply
    457.17x = 681.18 × 455.35
  4. Step 4: Simplify right side
    457.17x = 310,175.31
  5. Step 5: Solve for x
    x = 310,175.31/457.17
  6. Step 6: Final answer
    x = 678.47

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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.