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Finding the Fourth Proportional to 1,402.14, 2,103.08 and 661.58

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Solution

The fourth proportional to 1,402.14, 2,103.08 and 661.58 is: 992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.14 : 2,103.08 = 661.58 : x
  2. Step 2: Convert to fraction form
    1,402.14/2,103.08 = 661.58/x
  3. Step 3: Cross multiply
    1,402.14x = 2,103.08 × 661.58
  4. Step 4: Simplify right side
    1,402.14x = 1,391,355.67
  5. Step 5: Solve for x
    x = 1,391,355.67/1,402.14
  6. Step 6: Final answer
    x = 992.31

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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.