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Finding the Fourth Proportional to 1,091.71, 1,638.50 and 475.91

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Solution

The fourth proportional to 1,091.71, 1,638.50 and 475.91 is: 714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.71 : 1,638.50 = 475.91 : x
  2. Step 2: Convert to fraction form
    1,091.71/1,638.50 = 475.91/x
  3. Step 3: Cross multiply
    1,091.71x = 1,638.50 × 475.91
  4. Step 4: Simplify right side
    1,091.71x = 779,774.11
  5. Step 5: Solve for x
    x = 779,774.11/1,091.71
  6. Step 6: Final answer
    x = 714.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.