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Finding the Fourth Proportional to 670.30, 1,005.49 and 231.53

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Solution

The fourth proportional to 670.30, 1,005.49 and 231.53 is: 347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.30 : 1,005.49 = 231.53 : x
  2. Step 2: Convert to fraction form
    670.30/1,005.49 = 231.53/x
  3. Step 3: Cross multiply
    670.30x = 1,005.49 × 231.53
  4. Step 4: Simplify right side
    670.30x = 232,796.36
  5. Step 5: Solve for x
    x = 232,796.36/670.30
  6. Step 6: Final answer
    x = 347.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.