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Finding the Fourth Proportional to 476.54, 660.97 and 457.10

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Solution

The fourth proportional to 476.54, 660.97 and 457.10 is: 634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.54 : 660.97 = 457.10 : x
  2. Step 2: Convert to fraction form
    476.54/660.97 = 457.10/x
  3. Step 3: Cross multiply
    476.54x = 660.97 × 457.10
  4. Step 4: Simplify right side
    476.54x = 302,127.10
  5. Step 5: Solve for x
    x = 302,127.10/476.54
  6. Step 6: Final answer
    x = 634.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.