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Finding the Fourth Proportional to 1,384.29, 1,908.85 and 886.95

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Solution

The fourth proportional to 1,384.29, 1,908.85 and 886.95 is: 1,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.29 : 1,908.85 = 886.95 : x
  2. Step 2: Convert to fraction form
    1,384.29/1,908.85 = 886.95/x
  3. Step 3: Cross multiply
    1,384.29x = 1,908.85 × 886.95
  4. Step 4: Simplify right side
    1,384.29x = 1,693,054.51
  5. Step 5: Solve for x
    x = 1,693,054.51/1,384.29
  6. Step 6: Final answer
    x = 1,223.05

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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.