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Finding the Fourth Proportional to 673.29, 1,004.28 and 652.80

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Solution

The fourth proportional to 673.29, 1,004.28 and 652.80 is: 973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.29 : 1,004.28 = 652.80 : x
  2. Step 2: Convert to fraction form
    673.29/1,004.28 = 652.80/x
  3. Step 3: Cross multiply
    673.29x = 1,004.28 × 652.80
  4. Step 4: Simplify right side
    673.29x = 655,593.98
  5. Step 5: Solve for x
    x = 655,593.98/673.29
  6. Step 6: Final answer
    x = 973.72

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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.