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Finding the Fourth Proportional to 633.30, 947.52 and 471.71

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Solution

The fourth proportional to 633.30, 947.52 and 471.71 is: 705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.30 : 947.52 = 471.71 : x
  2. Step 2: Convert to fraction form
    633.30/947.52 = 471.71/x
  3. Step 3: Cross multiply
    633.30x = 947.52 × 471.71
  4. Step 4: Simplify right side
    633.30x = 446,949.92
  5. Step 5: Solve for x
    x = 446,949.92/633.30
  6. Step 6: Final answer
    x = 705.75

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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.