Home / 1,522.58-2,284.00-426.95

Finding the Fourth Proportional to 1,522.58, 2,284.00 and 426.95

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Solution

The fourth proportional to 1,522.58, 2,284.00 and 426.95 is: 640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.58 : 2,284.00 = 426.95 : x
  2. Step 2: Convert to fraction form
    1,522.58/2,284.00 = 426.95/x
  3. Step 3: Cross multiply
    1,522.58x = 2,284.00 × 426.95
  4. Step 4: Simplify right side
    1,522.58x = 975,141.31
  5. Step 5: Solve for x
    x = 975,141.31/1,522.58
  6. Step 6: Final answer
    x = 640.45

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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.