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Finding the Fourth Proportional to 1,385.16, 1,908.96 and 991.50

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Solution

The fourth proportional to 1,385.16, 1,908.96 and 991.50 is: 1,366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.16 : 1,908.96 = 991.50 : x
  2. Step 2: Convert to fraction form
    1,385.16/1,908.96 = 991.50/x
  3. Step 3: Cross multiply
    1,385.16x = 1,908.96 × 991.50
  4. Step 4: Simplify right side
    1,385.16x = 1,892,733.84
  5. Step 5: Solve for x
    x = 1,892,733.84/1,385.16
  6. Step 6: Final answer
    x = 1,366.44

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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.