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Finding the Fourth Proportional to 628.84, 865.38 and 534.16

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Solution

The fourth proportional to 628.84, 865.38 and 534.16 is: 735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.84 : 865.38 = 534.16 : x
  2. Step 2: Convert to fraction form
    628.84/865.38 = 534.16/x
  3. Step 3: Cross multiply
    628.84x = 865.38 × 534.16
  4. Step 4: Simplify right side
    628.84x = 462,251.38
  5. Step 5: Solve for x
    x = 462,251.38/628.84
  6. Step 6: Final answer
    x = 735.09

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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.