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Finding the Fourth Proportional to 670.53, 1,003.74 and 427.22

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Solution

The fourth proportional to 670.53, 1,003.74 and 427.22 is: 639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.53 : 1,003.74 = 427.22 : x
  2. Step 2: Convert to fraction form
    670.53/1,003.74 = 427.22/x
  3. Step 3: Cross multiply
    670.53x = 1,003.74 × 427.22
  4. Step 4: Simplify right side
    670.53x = 428,823.00
  5. Step 5: Solve for x
    x = 428,823.00/670.53
  6. Step 6: Final answer
    x = 639.53

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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.