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Finding the Fourth Proportional to 668.72, 921.36 and 471.84

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Solution

The fourth proportional to 668.72, 921.36 and 471.84 is: 650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.72 : 921.36 = 471.84 : x
  2. Step 2: Convert to fraction form
    668.72/921.36 = 471.84/x
  3. Step 3: Cross multiply
    668.72x = 921.36 × 471.84
  4. Step 4: Simplify right side
    668.72x = 434,734.50
  5. Step 5: Solve for x
    x = 434,734.50/668.72
  6. Step 6: Final answer
    x = 650.10

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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.