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Finding the Fourth Proportional to 985.15, 1,468.89 and 949.58

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Solution

The fourth proportional to 985.15, 1,468.89 and 949.58 is: 1,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.15 : 1,468.89 = 949.58 : x
  2. Step 2: Convert to fraction form
    985.15/1,468.89 = 949.58/x
  3. Step 3: Cross multiply
    985.15x = 1,468.89 × 949.58
  4. Step 4: Simplify right side
    985.15x = 1,394,828.57
  5. Step 5: Solve for x
    x = 1,394,828.57/985.15
  6. Step 6: Final answer
    x = 1,415.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.