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Finding the Fourth Proportional to 673.86, 1,005.14 and 644.70

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Solution

The fourth proportional to 673.86, 1,005.14 and 644.70 is: 961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.86 : 1,005.14 = 644.70 : x
  2. Step 2: Convert to fraction form
    673.86/1,005.14 = 644.70/x
  3. Step 3: Cross multiply
    673.86x = 1,005.14 × 644.70
  4. Step 4: Simplify right side
    673.86x = 648,010.53
  5. Step 5: Solve for x
    x = 648,010.53/673.86
  6. Step 6: Final answer
    x = 961.64

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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.