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Finding the Fourth Proportional to 509.08, 761.76 and 386.36

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Solution

The fourth proportional to 509.08, 761.76 and 386.36 is: 578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.08 : 761.76 = 386.36 : x
  2. Step 2: Convert to fraction form
    509.08/761.76 = 386.36/x
  3. Step 3: Cross multiply
    509.08x = 761.76 × 386.36
  4. Step 4: Simplify right side
    509.08x = 294,313.59
  5. Step 5: Solve for x
    x = 294,313.59/509.08
  6. Step 6: Final answer
    x = 578.13

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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.