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Finding the Fourth Proportional to 676.29, 1,007.29 and 646.31

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Solution

The fourth proportional to 676.29, 1,007.29 and 646.31 is: 962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.29 : 1,007.29 = 646.31 : x
  2. Step 2: Convert to fraction form
    676.29/1,007.29 = 646.31/x
  3. Step 3: Cross multiply
    676.29x = 1,007.29 × 646.31
  4. Step 4: Simplify right side
    676.29x = 651,021.60
  5. Step 5: Solve for x
    x = 651,021.60/676.29
  6. Step 6: Final answer
    x = 962.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.