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Finding the Fourth Proportional to 453.75, 681.38 and 420.08

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Solution

The fourth proportional to 453.75, 681.38 and 420.08 is: 630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.75 : 681.38 = 420.08 : x
  2. Step 2: Convert to fraction form
    453.75/681.38 = 420.08/x
  3. Step 3: Cross multiply
    453.75x = 681.38 × 420.08
  4. Step 4: Simplify right side
    453.75x = 286,228.60
  5. Step 5: Solve for x
    x = 286,228.60/453.75
  6. Step 6: Final answer
    x = 630.81

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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.