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Finding the Fourth Proportional to 504.18, 695.49 and 379.80

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Solution

The fourth proportional to 504.18, 695.49 and 379.80 is: 523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.18 : 695.49 = 379.80 : x
  2. Step 2: Convert to fraction form
    504.18/695.49 = 379.80/x
  3. Step 3: Cross multiply
    504.18x = 695.49 × 379.80
  4. Step 4: Simplify right side
    504.18x = 264,147.10
  5. Step 5: Solve for x
    x = 264,147.10/504.18
  6. Step 6: Final answer
    x = 523.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.