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Finding the Fourth Proportional to 668.30, 921.93 and 471.38

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Solution

The fourth proportional to 668.30, 921.93 and 471.38 is: 650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.30 : 921.93 = 471.38 : x
  2. Step 2: Convert to fraction form
    668.30/921.93 = 471.38/x
  3. Step 3: Cross multiply
    668.30x = 921.93 × 471.38
  4. Step 4: Simplify right side
    668.30x = 434,579.36
  5. Step 5: Solve for x
    x = 434,579.36/668.30
  6. Step 6: Final answer
    x = 650.28

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Half scale
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Double scale
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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.