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Finding the Fourth Proportional to 1,673.26, 2,509.85 and 503.21

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Solution

The fourth proportional to 1,673.26, 2,509.85 and 503.21 is: 754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.26 : 2,509.85 = 503.21 : x
  2. Step 2: Convert to fraction form
    1,673.26/2,509.85 = 503.21/x
  3. Step 3: Cross multiply
    1,673.26x = 2,509.85 × 503.21
  4. Step 4: Simplify right side
    1,673.26x = 1,262,989.15
  5. Step 5: Solve for x
    x = 1,262,989.15/1,673.26
  6. Step 6: Final answer
    x = 754.81

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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.