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Finding the Fourth Proportional to 476.28, 708.84 and 473.40

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Solution

The fourth proportional to 476.28, 708.84 and 473.40 is: 704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.28 : 708.84 = 473.40 : x
  2. Step 2: Convert to fraction form
    476.28/708.84 = 473.40/x
  3. Step 3: Cross multiply
    476.28x = 708.84 × 473.40
  4. Step 4: Simplify right side
    476.28x = 335,564.86
  5. Step 5: Solve for x
    x = 335,564.86/476.28
  6. Step 6: Final answer
    x = 704.55

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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.