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Finding the Fourth Proportional to 673.23, 1,007.67 and 348.15

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Solution

The fourth proportional to 673.23, 1,007.67 and 348.15 is: 521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.23 : 1,007.67 = 348.15 : x
  2. Step 2: Convert to fraction form
    673.23/1,007.67 = 348.15/x
  3. Step 3: Cross multiply
    673.23x = 1,007.67 × 348.15
  4. Step 4: Simplify right side
    673.23x = 350,820.31
  5. Step 5: Solve for x
    x = 350,820.31/673.23
  6. Step 6: Final answer
    x = 521.10

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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.