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Finding the Fourth Proportional to 546.49, 756.14 and 476.70

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Solution

The fourth proportional to 546.49, 756.14 and 476.70 is: 659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.49 : 756.14 = 476.70 : x
  2. Step 2: Convert to fraction form
    546.49/756.14 = 476.70/x
  3. Step 3: Cross multiply
    546.49x = 756.14 × 476.70
  4. Step 4: Simplify right side
    546.49x = 360,451.94
  5. Step 5: Solve for x
    x = 360,451.94/546.49
  6. Step 6: Final answer
    x = 659.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.