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Finding the Fourth Proportional to 668.16, 921.60 and 557.64

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Solution

The fourth proportional to 668.16, 921.60 and 557.64 is: 769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.16 : 921.60 = 557.64 : x
  2. Step 2: Convert to fraction form
    668.16/921.60 = 557.64/x
  3. Step 3: Cross multiply
    668.16x = 921.60 × 557.64
  4. Step 4: Simplify right side
    668.16x = 513,921.02
  5. Step 5: Solve for x
    x = 513,921.02/668.16
  6. Step 6: Final answer
    x = 769.16

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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.