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Finding the Fourth Proportional to 633.11, 947.61 and 545.63

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Solution

The fourth proportional to 633.11, 947.61 and 545.63 is: 816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.11 : 947.61 = 545.63 : x
  2. Step 2: Convert to fraction form
    633.11/947.61 = 545.63/x
  3. Step 3: Cross multiply
    633.11x = 947.61 × 545.63
  4. Step 4: Simplify right side
    633.11x = 517,044.44
  5. Step 5: Solve for x
    x = 517,044.44/633.11
  6. Step 6: Final answer
    x = 816.67

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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.