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Finding the Fourth Proportional to 628.05, 864.07 and 553.03

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Solution

The fourth proportional to 628.05, 864.07 and 553.03 is: 760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.05 : 864.07 = 553.03 : x
  2. Step 2: Convert to fraction form
    628.05/864.07 = 553.03/x
  3. Step 3: Cross multiply
    628.05x = 864.07 × 553.03
  4. Step 4: Simplify right side
    628.05x = 477,853.09
  5. Step 5: Solve for x
    x = 477,853.09/628.05
  6. Step 6: Final answer
    x = 760.85

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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.