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Finding the Fourth Proportional to 509.80, 763.17 and 454.45

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Solution

The fourth proportional to 509.80, 763.17 and 454.45 is: 680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.80 : 763.17 = 454.45 : x
  2. Step 2: Convert to fraction form
    509.80/763.17 = 454.45/x
  3. Step 3: Cross multiply
    509.80x = 763.17 × 454.45
  4. Step 4: Simplify right side
    509.80x = 346,822.61
  5. Step 5: Solve for x
    x = 346,822.61/509.80
  6. Step 6: Final answer
    x = 680.31

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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.