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Finding the Fourth Proportional to 648.90, 893.49 and 515.86

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Solution

The fourth proportional to 648.90, 893.49 and 515.86 is: 710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.90 : 893.49 = 515.86 : x
  2. Step 2: Convert to fraction form
    648.90/893.49 = 515.86/x
  3. Step 3: Cross multiply
    648.90x = 893.49 × 515.86
  4. Step 4: Simplify right side
    648.90x = 460,915.75
  5. Step 5: Solve for x
    x = 460,915.75/648.90
  6. Step 6: Final answer
    x = 710.30

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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.