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Finding the Fourth Proportional to 648.63, 894.69 and 537.39

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Solution

The fourth proportional to 648.63, 894.69 and 537.39 is: 741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.63 : 894.69 = 537.39 : x
  2. Step 2: Convert to fraction form
    648.63/894.69 = 537.39/x
  3. Step 3: Cross multiply
    648.63x = 894.69 × 537.39
  4. Step 4: Simplify right side
    648.63x = 480,797.46
  5. Step 5: Solve for x
    x = 480,797.46/648.63
  6. Step 6: Final answer
    x = 741.25

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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.