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Finding the Fourth Proportional to 632.80, 947.37 and 471.21

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Solution

The fourth proportional to 632.80, 947.37 and 471.21 is: 705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.80 : 947.37 = 471.21 : x
  2. Step 2: Convert to fraction form
    632.80/947.37 = 471.21/x
  3. Step 3: Cross multiply
    632.80x = 947.37 × 471.21
  4. Step 4: Simplify right side
    632.80x = 446,410.22
  5. Step 5: Solve for x
    x = 446,410.22/632.80
  6. Step 6: Final answer
    x = 705.45

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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.