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Finding the Fourth Proportional to 1,420.29, 1,960.81 and 948.85

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Solution

The fourth proportional to 1,420.29, 1,960.81 and 948.85 is: 1,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.29 : 1,960.81 = 948.85 : x
  2. Step 2: Convert to fraction form
    1,420.29/1,960.81 = 948.85/x
  3. Step 3: Cross multiply
    1,420.29x = 1,960.81 × 948.85
  4. Step 4: Simplify right side
    1,420.29x = 1,860,507.29
  5. Step 5: Solve for x
    x = 1,860,507.29/1,420.29
  6. Step 6: Final answer
    x = 1,309.95

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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.