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Finding the Fourth Proportional to 945.72, 1,305.10 and 552.67

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Solution

The fourth proportional to 945.72, 1,305.10 and 552.67 is: 762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.72 : 1,305.10 = 552.67 : x
  2. Step 2: Convert to fraction form
    945.72/1,305.10 = 552.67/x
  3. Step 3: Cross multiply
    945.72x = 1,305.10 × 552.67
  4. Step 4: Simplify right side
    945.72x = 721,289.62
  5. Step 5: Solve for x
    x = 721,289.62/945.72
  6. Step 6: Final answer
    x = 762.69

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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.