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Finding the Fourth Proportional to 509.48, 760.04 and 454.82

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Solution

The fourth proportional to 509.48, 760.04 and 454.82 is: 678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.48 : 760.04 = 454.82 : x
  2. Step 2: Convert to fraction form
    509.48/760.04 = 454.82/x
  3. Step 3: Cross multiply
    509.48x = 760.04 × 454.82
  4. Step 4: Simplify right side
    509.48x = 345,681.39
  5. Step 5: Solve for x
    x = 345,681.39/509.48
  6. Step 6: Final answer
    x = 678.50

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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.