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Finding the Fourth Proportional to 553.64, 762.90 and 456.08

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Solution

The fourth proportional to 553.64, 762.90 and 456.08 is: 628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.64 : 762.90 = 456.08 : x
  2. Step 2: Convert to fraction form
    553.64/762.90 = 456.08/x
  3. Step 3: Cross multiply
    553.64x = 762.90 × 456.08
  4. Step 4: Simplify right side
    553.64x = 347,943.43
  5. Step 5: Solve for x
    x = 347,943.43/553.64
  6. Step 6: Final answer
    x = 628.47

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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.