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Finding the Fourth Proportional to 486.57, 726.01 and 457.03

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Solution

The fourth proportional to 486.57, 726.01 and 457.03 is: 681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.57 : 726.01 = 457.03 : x
  2. Step 2: Convert to fraction form
    486.57/726.01 = 457.03/x
  3. Step 3: Cross multiply
    486.57x = 726.01 × 457.03
  4. Step 4: Simplify right side
    486.57x = 331,808.12
  5. Step 5: Solve for x
    x = 331,808.12/486.57
  6. Step 6: Final answer
    x = 681.93

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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.