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Finding the Fourth Proportional to 648.35, 894.71 and 353.63

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Solution

The fourth proportional to 648.35, 894.71 and 353.63 is: 487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.35 : 894.71 = 353.63 : x
  2. Step 2: Convert to fraction form
    648.35/894.71 = 353.63/x
  3. Step 3: Cross multiply
    648.35x = 894.71 × 353.63
  4. Step 4: Simplify right side
    648.35x = 316,392.71
  5. Step 5: Solve for x
    x = 316,392.71/648.35
  6. Step 6: Final answer
    x = 487.99

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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.