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Finding the Fourth Proportional to 600.14, 901.20 and 453.90

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Solution

The fourth proportional to 600.14, 901.20 and 453.90 is: 681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.14 : 901.20 = 453.90 : x
  2. Step 2: Convert to fraction form
    600.14/901.20 = 453.90/x
  3. Step 3: Cross multiply
    600.14x = 901.20 × 453.90
  4. Step 4: Simplify right side
    600.14x = 409,054.68
  5. Step 5: Solve for x
    x = 409,054.68/600.14
  6. Step 6: Final answer
    x = 681.60

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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.