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Finding the Fourth Proportional to 476.70, 710.72 and 457.26

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Solution

The fourth proportional to 476.70, 710.72 and 457.26 is: 681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.70 : 710.72 = 457.26 : x
  2. Step 2: Convert to fraction form
    476.70/710.72 = 457.26/x
  3. Step 3: Cross multiply
    476.70x = 710.72 × 457.26
  4. Step 4: Simplify right side
    476.70x = 324,981.54
  5. Step 5: Solve for x
    x = 324,981.54/476.70
  6. Step 6: Final answer
    x = 681.73

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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.