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Finding the Fourth Proportional to 600.42, 899.07 and 514.30

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Solution

The fourth proportional to 600.42, 899.07 and 514.30 is: 770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.42 : 899.07 = 514.30 : x
  2. Step 2: Convert to fraction form
    600.42/899.07 = 514.30/x
  3. Step 3: Cross multiply
    600.42x = 899.07 × 514.30
  4. Step 4: Simplify right side
    600.42x = 462,389.13
  5. Step 5: Solve for x
    x = 462,389.13/600.42
  6. Step 6: Final answer
    x = 770.12

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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.