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Finding the Fourth Proportional to 642.16, 886.83 and 553.46

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Solution

The fourth proportional to 642.16, 886.83 and 553.46 is: 764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.16 : 886.83 = 553.46 : x
  2. Step 2: Convert to fraction form
    642.16/886.83 = 553.46/x
  3. Step 3: Cross multiply
    642.16x = 886.83 × 553.46
  4. Step 4: Simplify right side
    642.16x = 490,824.93
  5. Step 5: Solve for x
    x = 490,824.93/642.16
  6. Step 6: Final answer
    x = 764.33

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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.