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Finding the Fourth Proportional to 654, 982.37 and 499.40

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Solution

The fourth proportional to 654, 982.37 and 499.40 is: 750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    654 : 982.37 = 499.40 : x
  2. Step 2: Convert to fraction form
    654/982.37 = 499.40/x
  3. Step 3: Cross multiply
    654x = 982.37 × 499.40
  4. Step 4: Simplify right side
    654x = 490,588.17
  5. Step 5: Solve for x
    x = 490,588.17/654
  6. Step 6: Final answer
    x = 750.13

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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.