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Finding the Fourth Proportional to 572.48, 857.35 and 543.77

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Solution

The fourth proportional to 572.48, 857.35 and 543.77 is: 814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.48 : 857.35 = 543.77 : x
  2. Step 2: Convert to fraction form
    572.48/857.35 = 543.77/x
  3. Step 3: Cross multiply
    572.48x = 857.35 × 543.77
  4. Step 4: Simplify right side
    572.48x = 466,201.99
  5. Step 5: Solve for x
    x = 466,201.99/572.48
  6. Step 6: Final answer
    x = 814.35

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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.