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Finding the Fourth Proportional to 1,417.08, 1,954.53 and 827.58

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Solution

The fourth proportional to 1,417.08, 1,954.53 and 827.58 is: 1,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.08 : 1,954.53 = 827.58 : x
  2. Step 2: Convert to fraction form
    1,417.08/1,954.53 = 827.58/x
  3. Step 3: Cross multiply
    1,417.08x = 1,954.53 × 827.58
  4. Step 4: Simplify right side
    1,417.08x = 1,617,529.94
  5. Step 5: Solve for x
    x = 1,617,529.94/1,417.08
  6. Step 6: Final answer
    x = 1,141.45

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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.