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Finding the Fourth Proportional to 947.72, 1,308.22 and 554.76

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Solution

The fourth proportional to 947.72, 1,308.22 and 554.76 is: 765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.72 : 1,308.22 = 554.76 : x
  2. Step 2: Convert to fraction form
    947.72/1,308.22 = 554.76/x
  3. Step 3: Cross multiply
    947.72x = 1,308.22 × 554.76
  4. Step 4: Simplify right side
    947.72x = 725,748.13
  5. Step 5: Solve for x
    x = 725,748.13/947.72
  6. Step 6: Final answer
    x = 765.78

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Double scale
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1.5x scale

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.