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Finding the Fourth Proportional to 487.13, 727.16 and 450.99

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Solution

The fourth proportional to 487.13, 727.16 and 450.99 is: 673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.13 : 727.16 = 450.99 : x
  2. Step 2: Convert to fraction form
    487.13/727.16 = 450.99/x
  3. Step 3: Cross multiply
    487.13x = 727.16 × 450.99
  4. Step 4: Simplify right side
    487.13x = 327,941.45
  5. Step 5: Solve for x
    x = 327,941.45/487.13
  6. Step 6: Final answer
    x = 673.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.