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Finding the Fourth Proportional to 648.90, 971.93 and 533.07

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Solution

The fourth proportional to 648.90, 971.93 and 533.07 is: 798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.90 : 971.93 = 533.07 : x
  2. Step 2: Convert to fraction form
    648.90/971.93 = 533.07/x
  3. Step 3: Cross multiply
    648.90x = 971.93 × 533.07
  4. Step 4: Simplify right side
    648.90x = 518,108.06
  5. Step 5: Solve for x
    x = 518,108.06/648.90
  6. Step 6: Final answer
    x = 798.44

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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.