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Finding the Fourth Proportional to 681.48, 1,021.50 and 498.60

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Solution

The fourth proportional to 681.48, 1,021.50 and 498.60 is: 747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.48 : 1,021.50 = 498.60 : x
  2. Step 2: Convert to fraction form
    681.48/1,021.50 = 498.60/x
  3. Step 3: Cross multiply
    681.48x = 1,021.50 × 498.60
  4. Step 4: Simplify right side
    681.48x = 509,319.90
  5. Step 5: Solve for x
    x = 509,319.90/681.48
  6. Step 6: Final answer
    x = 747.37

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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.