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Finding the Fourth Proportional to 673.96, 1,012.47 and 646.27

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Solution

The fourth proportional to 673.96, 1,012.47 and 646.27 is: 970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.96 : 1,012.47 = 646.27 : x
  2. Step 2: Convert to fraction form
    673.96/1,012.47 = 646.27/x
  3. Step 3: Cross multiply
    673.96x = 1,012.47 × 646.27
  4. Step 4: Simplify right side
    673.96x = 654,328.99
  5. Step 5: Solve for x
    x = 654,328.99/673.96
  6. Step 6: Final answer
    x = 970.87

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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.