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Finding the Fourth Proportional to 610.42, 914.96 and 402.10

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Solution

The fourth proportional to 610.42, 914.96 and 402.10 is: 602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.42 : 914.96 = 402.10 : x
  2. Step 2: Convert to fraction form
    610.42/914.96 = 402.10/x
  3. Step 3: Cross multiply
    610.42x = 914.96 × 402.10
  4. Step 4: Simplify right side
    610.42x = 367,905.42
  5. Step 5: Solve for x
    x = 367,905.42/610.42
  6. Step 6: Final answer
    x = 602.71

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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.