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Finding the Fourth Proportional to 572.22, 858.36 and 543.06

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Solution

The fourth proportional to 572.22, 858.36 and 543.06 is: 814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.22 : 858.36 = 543.06 : x
  2. Step 2: Convert to fraction form
    572.22/858.36 = 543.06/x
  3. Step 3: Cross multiply
    572.22x = 858.36 × 543.06
  4. Step 4: Simplify right side
    572.22x = 466,140.98
  5. Step 5: Solve for x
    x = 466,140.98/572.22
  6. Step 6: Final answer
    x = 814.62

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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.