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Finding the Fourth Proportional to 1,349.73, 2,023.74 and 425.01

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Solution

The fourth proportional to 1,349.73, 2,023.74 and 425.01 is: 637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.73 : 2,023.74 = 425.01 : x
  2. Step 2: Convert to fraction form
    1,349.73/2,023.74 = 425.01/x
  3. Step 3: Cross multiply
    1,349.73x = 2,023.74 × 425.01
  4. Step 4: Simplify right side
    1,349.73x = 860,109.74
  5. Step 5: Solve for x
    x = 860,109.74/1,349.73
  6. Step 6: Final answer
    x = 637.25

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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.