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Finding the Fourth Proportional to 619.32, 926.66 and 345.62

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Solution

The fourth proportional to 619.32, 926.66 and 345.62 is: 517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.32 : 926.66 = 345.62 : x
  2. Step 2: Convert to fraction form
    619.32/926.66 = 345.62/x
  3. Step 3: Cross multiply
    619.32x = 926.66 × 345.62
  4. Step 4: Simplify right side
    619.32x = 320,272.23
  5. Step 5: Solve for x
    x = 320,272.23/619.32
  6. Step 6: Final answer
    x = 517.14

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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.