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Finding the Fourth Proportional to 506.76, 756.72 and 477.92

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Solution

The fourth proportional to 506.76, 756.72 and 477.92 is: 713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.76 : 756.72 = 477.92 : x
  2. Step 2: Convert to fraction form
    506.76/756.72 = 477.92/x
  3. Step 3: Cross multiply
    506.76x = 756.72 × 477.92
  4. Step 4: Simplify right side
    506.76x = 361,653.51
  5. Step 5: Solve for x
    x = 361,653.51/506.76
  6. Step 6: Final answer
    x = 713.66

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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.