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Finding the Fourth Proportional to 509.73, 761.97 and 378.51

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Solution

The fourth proportional to 509.73, 761.97 and 378.51 is: 565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.73 : 761.97 = 378.51 : x
  2. Step 2: Convert to fraction form
    509.73/761.97 = 378.51/x
  3. Step 3: Cross multiply
    509.73x = 761.97 × 378.51
  4. Step 4: Simplify right side
    509.73x = 288,411.83
  5. Step 5: Solve for x
    x = 288,411.83/509.73
  6. Step 6: Final answer
    x = 565.82

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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.