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Finding the Fourth Proportional to 648.13, 971.37 and 510.63

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Solution

The fourth proportional to 648.13, 971.37 and 510.63 is: 765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.13 : 971.37 = 510.63 : x
  2. Step 2: Convert to fraction form
    648.13/971.37 = 510.63/x
  3. Step 3: Cross multiply
    648.13x = 971.37 × 510.63
  4. Step 4: Simplify right side
    648.13x = 496,005.81
  5. Step 5: Solve for x
    x = 496,005.81/648.13
  6. Step 6: Final answer
    x = 765.29

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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.