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Finding the Fourth Proportional to 578.60, 792.73 and 570.50

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Solution

The fourth proportional to 578.60, 792.73 and 570.50 is: 781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.60 : 792.73 = 570.50 : x
  2. Step 2: Convert to fraction form
    578.60/792.73 = 570.50/x
  3. Step 3: Cross multiply
    578.60x = 792.73 × 570.50
  4. Step 4: Simplify right side
    578.60x = 452,252.47
  5. Step 5: Solve for x
    x = 452,252.47/578.60
  6. Step 6: Final answer
    x = 781.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.