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Finding the Fourth Proportional to 648.10, 894.72 and 427.42

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Solution

The fourth proportional to 648.10, 894.72 and 427.42 is: 590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.10 : 894.72 = 427.42 : x
  2. Step 2: Convert to fraction form
    648.10/894.72 = 427.42/x
  3. Step 3: Cross multiply
    648.10x = 894.72 × 427.42
  4. Step 4: Simplify right side
    648.10x = 382,421.22
  5. Step 5: Solve for x
    x = 382,421.22/648.10
  6. Step 6: Final answer
    x = 590.07

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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.