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Finding the Fourth Proportional to 942.26, 1,298.50 and 627.17

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Solution

The fourth proportional to 942.26, 1,298.50 and 627.17 is: 864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.26 : 1,298.50 = 627.17 : x
  2. Step 2: Convert to fraction form
    942.26/1,298.50 = 627.17/x
  3. Step 3: Cross multiply
    942.26x = 1,298.50 × 627.17
  4. Step 4: Simplify right side
    942.26x = 814,372.18
  5. Step 5: Solve for x
    x = 814,372.18/942.26
  6. Step 6: Final answer
    x = 864.28

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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.