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Finding the Fourth Proportional to 648.90, 892.40 and 566.06

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Solution

The fourth proportional to 648.90, 892.40 and 566.06 is: 778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.90 : 892.40 = 566.06 : x
  2. Step 2: Convert to fraction form
    648.90/892.40 = 566.06/x
  3. Step 3: Cross multiply
    648.90x = 892.40 × 566.06
  4. Step 4: Simplify right side
    648.90x = 505,144.65
  5. Step 5: Solve for x
    x = 505,144.65/648.90
  6. Step 6: Final answer
    x = 778.46

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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.