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Finding the Fourth Proportional to 619.29, 929.30 and 345.35

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Solution

The fourth proportional to 619.29, 929.30 and 345.35 is: 518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.29 : 929.30 = 345.35 : x
  2. Step 2: Convert to fraction form
    619.29/929.30 = 345.35/x
  3. Step 3: Cross multiply
    619.29x = 929.30 × 345.35
  4. Step 4: Simplify right side
    619.29x = 320,934.35
  5. Step 5: Solve for x
    x = 320,934.35/619.29
  6. Step 6: Final answer
    x = 518.23

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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.