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Finding the Fourth Proportional to 570.06, 782.91 and 504.48

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Solution

The fourth proportional to 570.06, 782.91 and 504.48 is: 692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.06 : 782.91 = 504.48 : x
  2. Step 2: Convert to fraction form
    570.06/782.91 = 504.48/x
  3. Step 3: Cross multiply
    570.06x = 782.91 × 504.48
  4. Step 4: Simplify right side
    570.06x = 394,962.44
  5. Step 5: Solve for x
    x = 394,962.44/570.06
  6. Step 6: Final answer
    x = 692.84

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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.