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Finding the Fourth Proportional to 1,091.34, 1,637.35 and 653.06

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Solution

The fourth proportional to 1,091.34, 1,637.35 and 653.06 is: 979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.34 : 1,637.35 = 653.06 : x
  2. Step 2: Convert to fraction form
    1,091.34/1,637.35 = 653.06/x
  3. Step 3: Cross multiply
    1,091.34x = 1,637.35 × 653.06
  4. Step 4: Simplify right side
    1,091.34x = 1,069,290.25
  5. Step 5: Solve for x
    x = 1,069,290.25/1,091.34
  6. Step 6: Final answer
    x = 979.80

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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.