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Finding the Fourth Proportional to 453.69, 626.25 and 287.91

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Solution

The fourth proportional to 453.69, 626.25 and 287.91 is: 397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.69 : 626.25 = 287.91 : x
  2. Step 2: Convert to fraction form
    453.69/626.25 = 287.91/x
  3. Step 3: Cross multiply
    453.69x = 626.25 × 287.91
  4. Step 4: Simplify right side
    453.69x = 180,303.64
  5. Step 5: Solve for x
    x = 180,303.64/453.69
  6. Step 6: Final answer
    x = 397.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.