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Finding the Fourth Proportional to 629.40, 942.90 and 586.20

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Solution

The fourth proportional to 629.40, 942.90 and 586.20 is: 878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.40 : 942.90 = 586.20 : x
  2. Step 2: Convert to fraction form
    629.40/942.90 = 586.20/x
  3. Step 3: Cross multiply
    629.40x = 942.90 × 586.20
  4. Step 4: Simplify right side
    629.40x = 552,727.98
  5. Step 5: Solve for x
    x = 552,727.98/629.40
  6. Step 6: Final answer
    x = 878.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.