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Finding the Fourth Proportional to 573.45, 857.88 and 497.27

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Solution

The fourth proportional to 573.45, 857.88 and 497.27 is: 743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.45 : 857.88 = 497.27 : x
  2. Step 2: Convert to fraction form
    573.45/857.88 = 497.27/x
  3. Step 3: Cross multiply
    573.45x = 857.88 × 497.27
  4. Step 4: Simplify right side
    573.45x = 426,593.70
  5. Step 5: Solve for x
    x = 426,593.70/573.45
  6. Step 6: Final answer
    x = 743.91

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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.