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Finding the Fourth Proportional to 673.14, 1,009.71 and 307.83

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Solution

The fourth proportional to 673.14, 1,009.71 and 307.83 is: 461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.14 : 1,009.71 = 307.83 : x
  2. Step 2: Convert to fraction form
    673.14/1,009.71 = 307.83/x
  3. Step 3: Cross multiply
    673.14x = 1,009.71 × 307.83
  4. Step 4: Simplify right side
    673.14x = 310,819.03
  5. Step 5: Solve for x
    x = 310,819.03/673.14
  6. Step 6: Final answer
    x = 461.75

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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.