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Finding the Fourth Proportional to 454.51, 681.78 and 430.82

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Solution

The fourth proportional to 454.51, 681.78 and 430.82 is: 646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.51 : 681.78 = 430.82 : x
  2. Step 2: Convert to fraction form
    454.51/681.78 = 430.82/x
  3. Step 3: Cross multiply
    454.51x = 681.78 × 430.82
  4. Step 4: Simplify right side
    454.51x = 293,725.22
  5. Step 5: Solve for x
    x = 293,725.22/454.51
  6. Step 6: Final answer
    x = 646.24

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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.