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Finding the Fourth Proportional to 600.64, 901.95 and 454.39

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Solution

The fourth proportional to 600.64, 901.95 and 454.39 is: 682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.64 : 901.95 = 454.39 : x
  2. Step 2: Convert to fraction form
    600.64/901.95 = 454.39/x
  3. Step 3: Cross multiply
    600.64x = 901.95 × 454.39
  4. Step 4: Simplify right side
    600.64x = 409,837.06
  5. Step 5: Solve for x
    x = 409,837.06/600.64
  6. Step 6: Final answer
    x = 682.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.