Home / 1,430.26-1,973.80-800.78

Finding the Fourth Proportional to 1,430.26, 1,973.80 and 800.78

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Solution

The fourth proportional to 1,430.26, 1,973.80 and 800.78 is: 1,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.26 : 1,973.80 = 800.78 : x
  2. Step 2: Convert to fraction form
    1,430.26/1,973.80 = 800.78/x
  3. Step 3: Cross multiply
    1,430.26x = 1,973.80 × 800.78
  4. Step 4: Simplify right side
    1,430.26x = 1,580,579.56
  5. Step 5: Solve for x
    x = 1,580,579.56/1,430.26
  6. Step 6: Final answer
    x = 1,105.10

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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.