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Finding the Fourth Proportional to 673.58, 1,009.83 and 289.10

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Solution

The fourth proportional to 673.58, 1,009.83 and 289.10 is: 433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.58 : 1,009.83 = 289.10 : x
  2. Step 2: Convert to fraction form
    673.58/1,009.83 = 289.10/x
  3. Step 3: Cross multiply
    673.58x = 1,009.83 × 289.10
  4. Step 4: Simplify right side
    673.58x = 291,945.46
  5. Step 5: Solve for x
    x = 291,945.46/673.58
  6. Step 6: Final answer
    x = 433.42

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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.