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Finding the Fourth Proportional to 650.24, 896.48 and 476.32

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Solution

The fourth proportional to 650.24, 896.48 and 476.32 is: 656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.24 : 896.48 = 476.32 : x
  2. Step 2: Convert to fraction form
    650.24/896.48 = 476.32/x
  3. Step 3: Cross multiply
    650.24x = 896.48 × 476.32
  4. Step 4: Simplify right side
    650.24x = 427,011.35
  5. Step 5: Solve for x
    x = 427,011.35/650.24
  6. Step 6: Final answer
    x = 656.70

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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.