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Finding the Fourth Proportional to 504.36, 695.25 and 393.66

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Solution

The fourth proportional to 504.36, 695.25 and 393.66 is: 542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.36 : 695.25 = 393.66 : x
  2. Step 2: Convert to fraction form
    504.36/695.25 = 393.66/x
  3. Step 3: Cross multiply
    504.36x = 695.25 × 393.66
  4. Step 4: Simplify right side
    504.36x = 273,692.12
  5. Step 5: Solve for x
    x = 273,692.12/504.36
  6. Step 6: Final answer
    x = 542.65

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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.