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Finding the Fourth Proportional to 619.62, 856.08 and 527.34

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Solution

The fourth proportional to 619.62, 856.08 and 527.34 is: 728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.62 : 856.08 = 527.34 : x
  2. Step 2: Convert to fraction form
    619.62/856.08 = 527.34/x
  3. Step 3: Cross multiply
    619.62x = 856.08 × 527.34
  4. Step 4: Simplify right side
    619.62x = 451,445.23
  5. Step 5: Solve for x
    x = 451,445.23/619.62
  6. Step 6: Final answer
    x = 728.58

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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.