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Finding the Fourth Proportional to 974.98, 1,346.38 and 626.27

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Solution

The fourth proportional to 974.98, 1,346.38 and 626.27 is: 864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.98 : 1,346.38 = 626.27 : x
  2. Step 2: Convert to fraction form
    974.98/1,346.38 = 626.27/x
  3. Step 3: Cross multiply
    974.98x = 1,346.38 × 626.27
  4. Step 4: Simplify right side
    974.98x = 843,199.20
  5. Step 5: Solve for x
    x = 843,199.20/974.98
  6. Step 6: Final answer
    x = 864.84

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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.