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Finding the Fourth Proportional to 673.14, 1,007.40 and 426.24

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Solution

The fourth proportional to 673.14, 1,007.40 and 426.24 is: 637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.14 : 1,007.40 = 426.24 : x
  2. Step 2: Convert to fraction form
    673.14/1,007.40 = 426.24/x
  3. Step 3: Cross multiply
    673.14x = 1,007.40 × 426.24
  4. Step 4: Simplify right side
    673.14x = 429,394.18
  5. Step 5: Solve for x
    x = 429,394.18/673.14
  6. Step 6: Final answer
    x = 637.90

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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.