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Finding the Fourth Proportional to 673.66, 1,009.47 and 500.05

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Solution

The fourth proportional to 673.66, 1,009.47 and 500.05 is: 749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.66 : 1,009.47 = 500.05 : x
  2. Step 2: Convert to fraction form
    673.66/1,009.47 = 500.05/x
  3. Step 3: Cross multiply
    673.66x = 1,009.47 × 500.05
  4. Step 4: Simplify right side
    673.66x = 504,785.47
  5. Step 5: Solve for x
    x = 504,785.47/673.66
  6. Step 6: Final answer
    x = 749.32

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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.