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Finding the Fourth Proportional to 977.45, 1,349 and 646.56

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Solution

The fourth proportional to 977.45, 1,349 and 646.56 is: 892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.45 : 1,349 = 646.56 : x
  2. Step 2: Convert to fraction form
    977.45/1,349 = 646.56/x
  3. Step 3: Cross multiply
    977.45x = 1,349 × 646.56
  4. Step 4: Simplify right side
    977.45x = 872,209.44
  5. Step 5: Solve for x
    x = 872,209.44/977.45
  6. Step 6: Final answer
    x = 892.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.