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Finding the Fourth Proportional to 476.40, 661.14 and 457.20

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Solution

The fourth proportional to 476.40, 661.14 and 457.20 is: 634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.40 : 661.14 = 457.20 : x
  2. Step 2: Convert to fraction form
    476.40/661.14 = 457.20/x
  3. Step 3: Cross multiply
    476.40x = 661.14 × 457.20
  4. Step 4: Simplify right side
    476.40x = 302,273.21
  5. Step 5: Solve for x
    x = 302,273.21/476.40
  6. Step 6: Final answer
    x = 634.49

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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.