Home / 1,402.13-2,101.48-699.66

Finding the Fourth Proportional to 1,402.13, 2,101.48 and 699.66

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Solution

The fourth proportional to 1,402.13, 2,101.48 and 699.66 is: 1,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.13 : 2,101.48 = 699.66 : x
  2. Step 2: Convert to fraction form
    1,402.13/2,101.48 = 699.66/x
  3. Step 3: Cross multiply
    1,402.13x = 2,101.48 × 699.66
  4. Step 4: Simplify right side
    1,402.13x = 1,470,319.75
  5. Step 5: Solve for x
    x = 1,470,319.75/1,402.13
  6. Step 6: Final answer
    x = 1,048.63

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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.