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Finding the Fourth Proportional to 619.76, 929.85 and 412.35

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Solution

The fourth proportional to 619.76, 929.85 and 412.35 is: 618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.76 : 929.85 = 412.35 : x
  2. Step 2: Convert to fraction form
    619.76/929.85 = 412.35/x
  3. Step 3: Cross multiply
    619.76x = 929.85 × 412.35
  4. Step 4: Simplify right side
    619.76x = 383,426.00
  5. Step 5: Solve for x
    x = 383,426.00/619.76
  6. Step 6: Final answer
    x = 618.67

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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.