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Finding the Fourth Proportional to 681.76, 941.04 and 402.16

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Solution

The fourth proportional to 681.76, 941.04 and 402.16 is: 555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.76 : 941.04 = 402.16 : x
  2. Step 2: Convert to fraction form
    681.76/941.04 = 402.16/x
  3. Step 3: Cross multiply
    681.76x = 941.04 × 402.16
  4. Step 4: Simplify right side
    681.76x = 378,448.65
  5. Step 5: Solve for x
    x = 378,448.65/681.76
  6. Step 6: Final answer
    x = 555.11

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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.