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Finding the Fourth Proportional to 610.90, 914.92 and 404.96

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Solution

The fourth proportional to 610.90, 914.92 and 404.96 is: 606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.90 : 914.92 = 404.96 : x
  2. Step 2: Convert to fraction form
    610.90/914.92 = 404.96/x
  3. Step 3: Cross multiply
    610.90x = 914.92 × 404.96
  4. Step 4: Simplify right side
    610.90x = 370,500.42
  5. Step 5: Solve for x
    x = 370,500.42/610.90
  6. Step 6: Final answer
    x = 606.49

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1.5x scale

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.