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Finding the Fourth Proportional to 606.78, 836.55 and 431.82

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Solution

The fourth proportional to 606.78, 836.55 and 431.82 is: 595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.78 : 836.55 = 431.82 : x
  2. Step 2: Convert to fraction form
    606.78/836.55 = 431.82/x
  3. Step 3: Cross multiply
    606.78x = 836.55 × 431.82
  4. Step 4: Simplify right side
    606.78x = 361,239.02
  5. Step 5: Solve for x
    x = 361,239.02/606.78
  6. Step 6: Final answer
    x = 595.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.