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Finding the Fourth Proportional to 673.25, 1,009.06 and 456.17

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Solution

The fourth proportional to 673.25, 1,009.06 and 456.17 is: 683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.25 : 1,009.06 = 456.17 : x
  2. Step 2: Convert to fraction form
    673.25/1,009.06 = 456.17/x
  3. Step 3: Cross multiply
    673.25x = 1,009.06 × 456.17
  4. Step 4: Simplify right side
    673.25x = 460,296.71
  5. Step 5: Solve for x
    x = 460,296.71/673.25
  6. Step 6: Final answer
    x = 683.70

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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.