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Finding the Fourth Proportional to 610.20, 914.90 and 471.02

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Solution

The fourth proportional to 610.20, 914.90 and 471.02 is: 706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.20 : 914.90 = 471.02 : x
  2. Step 2: Convert to fraction form
    610.20/914.90 = 471.02/x
  3. Step 3: Cross multiply
    610.20x = 914.90 × 471.02
  4. Step 4: Simplify right side
    610.20x = 430,929.27
  5. Step 5: Solve for x
    x = 430,929.27/610.20
  6. Step 6: Final answer
    x = 706.21

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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.