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Finding the Fourth Proportional to 456.17, 681.30 and 412.74

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Solution

The fourth proportional to 456.17, 681.30 and 412.74 is: 616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.17 : 681.30 = 412.74 : x
  2. Step 2: Convert to fraction form
    456.17/681.30 = 412.74/x
  3. Step 3: Cross multiply
    456.17x = 681.30 × 412.74
  4. Step 4: Simplify right side
    456.17x = 281,199.76
  5. Step 5: Solve for x
    x = 281,199.76/456.17
  6. Step 6: Final answer
    x = 616.44

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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.