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Finding the Fourth Proportional to 948.70, 1,420.62 and 660.34

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Solution

The fourth proportional to 948.70, 1,420.62 and 660.34 is: 988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.70 : 1,420.62 = 660.34 : x
  2. Step 2: Convert to fraction form
    948.70/1,420.62 = 660.34/x
  3. Step 3: Cross multiply
    948.70x = 1,420.62 × 660.34
  4. Step 4: Simplify right side
    948.70x = 938,092.21
  5. Step 5: Solve for x
    x = 938,092.21/948.70
  6. Step 6: Final answer
    x = 988.82

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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.