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Finding the Fourth Proportional to 648.48, 971.08 and 510.80

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Solution

The fourth proportional to 648.48, 971.08 and 510.80 is: 764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.48 : 971.08 = 510.80 : x
  2. Step 2: Convert to fraction form
    648.48/971.08 = 510.80/x
  3. Step 3: Cross multiply
    648.48x = 971.08 × 510.80
  4. Step 4: Simplify right side
    648.48x = 496,027.66
  5. Step 5: Solve for x
    x = 496,027.66/648.48
  6. Step 6: Final answer
    x = 764.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.