Home / 1,430.64-1,974.09-801.14

Finding the Fourth Proportional to 1,430.64, 1,974.09 and 801.14

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Solution

The fourth proportional to 1,430.64, 1,974.09 and 801.14 is: 1,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.64 : 1,974.09 = 801.14 : x
  2. Step 2: Convert to fraction form
    1,430.64/1,974.09 = 801.14/x
  3. Step 3: Cross multiply
    1,430.64x = 1,974.09 × 801.14
  4. Step 4: Simplify right side
    1,430.64x = 1,581,512.59
  5. Step 5: Solve for x
    x = 1,581,512.59/1,430.64
  6. Step 6: Final answer
    x = 1,105.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.