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Finding the Fourth Proportional to 646.64, 884.47 and 636.56

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Solution

The fourth proportional to 646.64, 884.47 and 636.56 is: 870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.64 : 884.47 = 636.56 : x
  2. Step 2: Convert to fraction form
    646.64/884.47 = 636.56/x
  3. Step 3: Cross multiply
    646.64x = 884.47 × 636.56
  4. Step 4: Simplify right side
    646.64x = 563,018.22
  5. Step 5: Solve for x
    x = 563,018.22/646.64
  6. Step 6: Final answer
    x = 870.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.