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Finding the Fourth Proportional to 611.48, 916.42 and 533

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Solution

The fourth proportional to 611.48, 916.42 and 533 is: 798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.48 : 916.42 = 533 : x
  2. Step 2: Convert to fraction form
    611.48/916.42 = 533/x
  3. Step 3: Cross multiply
    611.48x = 916.42 × 533
  4. Step 4: Simplify right side
    611.48x = 488,451.86
  5. Step 5: Solve for x
    x = 488,451.86/611.48
  6. Step 6: Final answer
    x = 798.80

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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.