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Finding the Fourth Proportional to 606.83, 909.83 and 542.03

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Solution

The fourth proportional to 606.83, 909.83 and 542.03 is: 812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.83 : 909.83 = 542.03 : x
  2. Step 2: Convert to fraction form
    606.83/909.83 = 542.03/x
  3. Step 3: Cross multiply
    606.83x = 909.83 × 542.03
  4. Step 4: Simplify right side
    606.83x = 493,151.96
  5. Step 5: Solve for x
    x = 493,151.96/606.83
  6. Step 6: Final answer
    x = 812.68

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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.