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Finding the Fourth Proportional to 1,090.98, 1,637.01 and 947.34

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Solution

The fourth proportional to 1,090.98, 1,637.01 and 947.34 is: 1,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.98 : 1,637.01 = 947.34 : x
  2. Step 2: Convert to fraction form
    1,090.98/1,637.01 = 947.34/x
  3. Step 3: Cross multiply
    1,090.98x = 1,637.01 × 947.34
  4. Step 4: Simplify right side
    1,090.98x = 1,550,805.05
  5. Step 5: Solve for x
    x = 1,550,805.05/1,090.98
  6. Step 6: Final answer
    x = 1,421.48

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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.