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Finding the Fourth Proportional to 509.56, 760.45 and 454.90

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Solution

The fourth proportional to 509.56, 760.45 and 454.90 is: 678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.56 : 760.45 = 454.90 : x
  2. Step 2: Convert to fraction form
    509.56/760.45 = 454.90/x
  3. Step 3: Cross multiply
    509.56x = 760.45 × 454.90
  4. Step 4: Simplify right side
    509.56x = 345,928.71
  5. Step 5: Solve for x
    x = 345,928.71/509.56
  6. Step 6: Final answer
    x = 678.88

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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.