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Finding the Fourth Proportional to 626.60, 864.64 and 402.13

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Solution

The fourth proportional to 626.60, 864.64 and 402.13 is: 554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.60 : 864.64 = 402.13 : x
  2. Step 2: Convert to fraction form
    626.60/864.64 = 402.13/x
  3. Step 3: Cross multiply
    626.60x = 864.64 × 402.13
  4. Step 4: Simplify right side
    626.60x = 347,699.27
  5. Step 5: Solve for x
    x = 347,699.27/626.60
  6. Step 6: Final answer
    x = 554.90

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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.