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Finding the Fourth Proportional to 504.56, 756.98 and 456.38

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Solution

The fourth proportional to 504.56, 756.98 and 456.38 is: 684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.56 : 756.98 = 456.38 : x
  2. Step 2: Convert to fraction form
    504.56/756.98 = 456.38/x
  3. Step 3: Cross multiply
    504.56x = 756.98 × 456.38
  4. Step 4: Simplify right side
    504.56x = 345,470.53
  5. Step 5: Solve for x
    x = 345,470.53/504.56
  6. Step 6: Final answer
    x = 684.70

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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.