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Finding the Fourth Proportional to 667.01, 920.08 and 471.40

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Solution

The fourth proportional to 667.01, 920.08 and 471.40 is: 650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.01 : 920.08 = 471.40 : x
  2. Step 2: Convert to fraction form
    667.01/920.08 = 471.40/x
  3. Step 3: Cross multiply
    667.01x = 920.08 × 471.40
  4. Step 4: Simplify right side
    667.01x = 433,725.71
  5. Step 5: Solve for x
    x = 433,725.71/667.01
  6. Step 6: Final answer
    x = 650.25

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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.