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Finding the Fourth Proportional to 606.90, 905.36 and 561

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Solution

The fourth proportional to 606.90, 905.36 and 561 is: 836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.90 : 905.36 = 561 : x
  2. Step 2: Convert to fraction form
    606.90/905.36 = 561/x
  3. Step 3: Cross multiply
    606.90x = 905.36 × 561
  4. Step 4: Simplify right side
    606.90x = 507,904.16
  5. Step 5: Solve for x
    x = 507,904.16/606.90
  6. Step 6: Final answer
    x = 836.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.