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Finding the Fourth Proportional to 673.16, 1,002.97 and 629

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Solution

The fourth proportional to 673.16, 1,002.97 and 629 is: 937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.16 : 1,002.97 = 629 : x
  2. Step 2: Convert to fraction form
    673.16/1,002.97 = 629/x
  3. Step 3: Cross multiply
    673.16x = 1,002.97 × 629
  4. Step 4: Simplify right side
    673.16x = 630,868.13
  5. Step 5: Solve for x
    x = 630,868.13/673.16
  6. Step 6: Final answer
    x = 937.17

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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.