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Finding the Fourth Proportional to 452.81, 675.95 and 419.00

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Solution

The fourth proportional to 452.81, 675.95 and 419.00 is: 625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.81 : 675.95 = 419.00 : x
  2. Step 2: Convert to fraction form
    452.81/675.95 = 419.00/x
  3. Step 3: Cross multiply
    452.81x = 675.95 × 419.00
  4. Step 4: Simplify right side
    452.81x = 283,217.58
  5. Step 5: Solve for x
    x = 283,217.58/452.81
  6. Step 6: Final answer
    x = 625.47

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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.