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Finding the Fourth Proportional to 628.03, 864.63 and 495.01

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Solution

The fourth proportional to 628.03, 864.63 and 495.01 is: 681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.03 : 864.63 = 495.01 : x
  2. Step 2: Convert to fraction form
    628.03/864.63 = 495.01/x
  3. Step 3: Cross multiply
    628.03x = 864.63 × 495.01
  4. Step 4: Simplify right side
    628.03x = 428,000.50
  5. Step 5: Solve for x
    x = 428,000.50/628.03
  6. Step 6: Final answer
    x = 681.50

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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.