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Finding the Fourth Proportional to 648.66, 894.70 and 400.11

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Solution

The fourth proportional to 648.66, 894.70 and 400.11 is: 551.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.66 : 894.70 = 400.11 : x
  2. Step 2: Convert to fraction form
    648.66/894.70 = 400.11/x
  3. Step 3: Cross multiply
    648.66x = 894.70 × 400.11
  4. Step 4: Simplify right side
    648.66x = 357,980.86
  5. Step 5: Solve for x
    x = 357,980.86/648.66
  6. Step 6: Final answer
    x = 551.88

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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.