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Finding the Fourth Proportional to 648.02, 892.70 and 535.52

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Solution

The fourth proportional to 648.02, 892.70 and 535.52 is: 737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.02 : 892.70 = 535.52 : x
  2. Step 2: Convert to fraction form
    648.02/892.70 = 535.52/x
  3. Step 3: Cross multiply
    648.02x = 892.70 × 535.52
  4. Step 4: Simplify right side
    648.02x = 478,058.70
  5. Step 5: Solve for x
    x = 478,058.70/648.02
  6. Step 6: Final answer
    x = 737.72

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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.