Home / 1,523.23-2,284.98-427.61

Finding the Fourth Proportional to 1,523.23, 2,284.98 and 427.61

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Solution

The fourth proportional to 1,523.23, 2,284.98 and 427.61 is: 641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.23 : 2,284.98 = 427.61 : x
  2. Step 2: Convert to fraction form
    1,523.23/2,284.98 = 427.61/x
  3. Step 3: Cross multiply
    1,523.23x = 2,284.98 × 427.61
  4. Step 4: Simplify right side
    1,523.23x = 977,080.30
  5. Step 5: Solve for x
    x = 977,080.30/1,523.23
  6. Step 6: Final answer
    x = 641.45

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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.