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Finding the Fourth Proportional to 509.68, 763.84 and 451.77

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Solution

The fourth proportional to 509.68, 763.84 and 451.77 is: 677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.68 : 763.84 = 451.77 : x
  2. Step 2: Convert to fraction form
    509.68/763.84 = 451.77/x
  3. Step 3: Cross multiply
    509.68x = 763.84 × 451.77
  4. Step 4: Simplify right side
    509.68x = 345,080.00
  5. Step 5: Solve for x
    x = 345,080.00/509.68
  6. Step 6: Final answer
    x = 677.05

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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.