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Finding the Fourth Proportional to 1,402.36, 2,103.56 and 465.30

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Solution

The fourth proportional to 1,402.36, 2,103.56 and 465.30 is: 697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.36 : 2,103.56 = 465.30 : x
  2. Step 2: Convert to fraction form
    1,402.36/2,103.56 = 465.30/x
  3. Step 3: Cross multiply
    1,402.36x = 2,103.56 × 465.30
  4. Step 4: Simplify right side
    1,402.36x = 978,786.47
  5. Step 5: Solve for x
    x = 978,786.47/1,402.36
  6. Step 6: Final answer
    x = 697.96

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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.