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Finding the Fourth Proportional to 573.50, 792.15 and 564.86

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Solution

The fourth proportional to 573.50, 792.15 and 564.86 is: 780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.50 : 792.15 = 564.86 : x
  2. Step 2: Convert to fraction form
    573.50/792.15 = 564.86/x
  3. Step 3: Cross multiply
    573.50x = 792.15 × 564.86
  4. Step 4: Simplify right side
    573.50x = 447,453.71
  5. Step 5: Solve for x
    x = 447,453.71/573.50
  6. Step 6: Final answer
    x = 780.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.