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Finding the Fourth Proportional to 487.06, 727.06 and 450.93

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Solution

The fourth proportional to 487.06, 727.06 and 450.93 is: 673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.06 : 727.06 = 450.93 : x
  2. Step 2: Convert to fraction form
    487.06/727.06 = 450.93/x
  3. Step 3: Cross multiply
    487.06x = 727.06 × 450.93
  4. Step 4: Simplify right side
    487.06x = 327,853.73
  5. Step 5: Solve for x
    x = 327,853.73/487.06
  6. Step 6: Final answer
    x = 673.13

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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.