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Finding the Fourth Proportional to 545.22, 816 and 537.93

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Solution

The fourth proportional to 545.22, 816 and 537.93 is: 805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.22 : 816 = 537.93 : x
  2. Step 2: Convert to fraction form
    545.22/816 = 537.93/x
  3. Step 3: Cross multiply
    545.22x = 816 × 537.93
  4. Step 4: Simplify right side
    545.22x = 438,946.80
  5. Step 5: Solve for x
    x = 438,946.80/545.22
  6. Step 6: Final answer
    x = 805.09

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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.