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Finding the Fourth Proportional to 509.48, 759.14 and 454.95

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Solution

The fourth proportional to 509.48, 759.14 and 454.95 is: 677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.48 : 759.14 = 454.95 : x
  2. Step 2: Convert to fraction form
    509.48/759.14 = 454.95/x
  3. Step 3: Cross multiply
    509.48x = 759.14 × 454.95
  4. Step 4: Simplify right side
    509.48x = 345,368.47
  5. Step 5: Solve for x
    x = 345,368.47/509.48
  6. Step 6: Final answer
    x = 677.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.