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Finding the Fourth Proportional to 606.30, 914.87 and 563.10

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Solution

The fourth proportional to 606.30, 914.87 and 563.10 is: 849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.30 : 914.87 = 563.10 : x
  2. Step 2: Convert to fraction form
    606.30/914.87 = 563.10/x
  3. Step 3: Cross multiply
    606.30x = 914.87 × 563.10
  4. Step 4: Simplify right side
    606.30x = 515,160.48
  5. Step 5: Solve for x
    x = 515,160.48/606.30
  6. Step 6: Final answer
    x = 849.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.