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Finding the Fourth Proportional to 509.86, 763.22 and 407.36

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Solution

The fourth proportional to 509.86, 763.22 and 407.36 is: 609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.86 : 763.22 = 407.36 : x
  2. Step 2: Convert to fraction form
    509.86/763.22 = 407.36/x
  3. Step 3: Cross multiply
    509.86x = 763.22 × 407.36
  4. Step 4: Simplify right side
    509.86x = 310,908.23
  5. Step 5: Solve for x
    x = 310,908.23/509.86
  6. Step 6: Final answer
    x = 609.79

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Double scale
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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.