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Finding the Fourth Proportional to 1,349.79, 2,021.95 and 654.39

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Solution

The fourth proportional to 1,349.79, 2,021.95 and 654.39 is: 980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.79 : 2,021.95 = 654.39 : x
  2. Step 2: Convert to fraction form
    1,349.79/2,021.95 = 654.39/x
  3. Step 3: Cross multiply
    1,349.79x = 2,021.95 × 654.39
  4. Step 4: Simplify right side
    1,349.79x = 1,323,146.60
  5. Step 5: Solve for x
    x = 1,323,146.60/1,349.79
  6. Step 6: Final answer
    x = 980.26

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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.