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Finding the Fourth Proportional to 637.23, 956.39 and 509.79

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Solution

The fourth proportional to 637.23, 956.39 and 509.79 is: 765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.23 : 956.39 = 509.79 : x
  2. Step 2: Convert to fraction form
    637.23/956.39 = 509.79/x
  3. Step 3: Cross multiply
    637.23x = 956.39 × 509.79
  4. Step 4: Simplify right side
    637.23x = 487,555.51
  5. Step 5: Solve for x
    x = 487,555.51/637.23
  6. Step 6: Final answer
    x = 765.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.