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Finding the Fourth Proportional to 456.63, 681.76 and 388.18

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Solution

The fourth proportional to 456.63, 681.76 and 388.18 is: 579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.63 : 681.76 = 388.18 : x
  2. Step 2: Convert to fraction form
    456.63/681.76 = 388.18/x
  3. Step 3: Cross multiply
    456.63x = 681.76 × 388.18
  4. Step 4: Simplify right side
    456.63x = 264,645.60
  5. Step 5: Solve for x
    x = 264,645.60/456.63
  6. Step 6: Final answer
    x = 579.56

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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.