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Finding the Fourth Proportional to 979.09, 1,468.64 and 431.28

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Solution

The fourth proportional to 979.09, 1,468.64 and 431.28 is: 646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.09 : 1,468.64 = 431.28 : x
  2. Step 2: Convert to fraction form
    979.09/1,468.64 = 431.28/x
  3. Step 3: Cross multiply
    979.09x = 1,468.64 × 431.28
  4. Step 4: Simplify right side
    979.09x = 633,395.06
  5. Step 5: Solve for x
    x = 633,395.06/979.09
  6. Step 6: Final answer
    x = 646.92

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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.