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Finding the Fourth Proportional to 675.54, 1,015.13 and 492.38

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Solution

The fourth proportional to 675.54, 1,015.13 and 492.38 is: 739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.54 : 1,015.13 = 492.38 : x
  2. Step 2: Convert to fraction form
    675.54/1,015.13 = 492.38/x
  3. Step 3: Cross multiply
    675.54x = 1,015.13 × 492.38
  4. Step 4: Simplify right side
    675.54x = 499,829.67
  5. Step 5: Solve for x
    x = 499,829.67/675.54
  6. Step 6: Final answer
    x = 739.90

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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.