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Finding the Fourth Proportional to 578.19, 792.78 and 570.90

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Solution

The fourth proportional to 578.19, 792.78 and 570.90 is: 782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.19 : 792.78 = 570.90 : x
  2. Step 2: Convert to fraction form
    578.19/792.78 = 570.90/x
  3. Step 3: Cross multiply
    578.19x = 792.78 × 570.90
  4. Step 4: Simplify right side
    578.19x = 452,598.10
  5. Step 5: Solve for x
    x = 452,598.10/578.19
  6. Step 6: Final answer
    x = 782.78

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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.