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Finding the Fourth Proportional to 614, 847.32 and 365.32

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Solution

The fourth proportional to 614, 847.32 and 365.32 is: 504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    614 : 847.32 = 365.32 : x
  2. Step 2: Convert to fraction form
    614/847.32 = 365.32/x
  3. Step 3: Cross multiply
    614x = 847.32 × 365.32
  4. Step 4: Simplify right side
    614x = 309,536.88
  5. Step 5: Solve for x
    x = 309,536.88/614
  6. Step 6: Final answer
    x = 504.13

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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.