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Finding the Fourth Proportional to 947.79, 1,308.20 and 617.04

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Solution

The fourth proportional to 947.79, 1,308.20 and 617.04 is: 851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.79 : 1,308.20 = 617.04 : x
  2. Step 2: Convert to fraction form
    947.79/1,308.20 = 617.04/x
  3. Step 3: Cross multiply
    947.79x = 1,308.20 × 617.04
  4. Step 4: Simplify right side
    947.79x = 807,208.64
  5. Step 5: Solve for x
    x = 807,208.64/947.79
  6. Step 6: Final answer
    x = 851.67

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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.