Home / 1,430.21-1,973.68-800.75

Finding the Fourth Proportional to 1,430.21, 1,973.68 and 800.75

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Solution

The fourth proportional to 1,430.21, 1,973.68 and 800.75 is: 1,105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.21 : 1,973.68 = 800.75 : x
  2. Step 2: Convert to fraction form
    1,430.21/1,973.68 = 800.75/x
  3. Step 3: Cross multiply
    1,430.21x = 1,973.68 × 800.75
  4. Step 4: Simplify right side
    1,430.21x = 1,580,424.26
  5. Step 5: Solve for x
    x = 1,580,424.26/1,430.21
  6. Step 6: Final answer
    x = 1,105.03

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Half scale
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1.5x scale

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.