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Finding the Fourth Proportional to 600.75, 900.90 and 354.02

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Solution

The fourth proportional to 600.75, 900.90 and 354.02 is: 530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 900.90 = 354.02 : x
  2. Step 2: Convert to fraction form
    600.75/900.90 = 354.02/x
  3. Step 3: Cross multiply
    600.75x = 900.90 × 354.02
  4. Step 4: Simplify right side
    600.75x = 318,932.11
  5. Step 5: Solve for x
    x = 318,932.11/600.75
  6. Step 6: Final answer
    x = 530.89

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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.