Home / 1,420.20-1,959.60-830.88

Finding the Fourth Proportional to 1,420.20, 1,959.60 and 830.88

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Solution

The fourth proportional to 1,420.20, 1,959.60 and 830.88 is: 1,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.20 : 1,959.60 = 830.88 : x
  2. Step 2: Convert to fraction form
    1,420.20/1,959.60 = 830.88/x
  3. Step 3: Cross multiply
    1,420.20x = 1,959.60 × 830.88
  4. Step 4: Simplify right side
    1,420.20x = 1,628,192.45
  5. Step 5: Solve for x
    x = 1,628,192.45/1,420.20
  6. Step 6: Final answer
    x = 1,146.45

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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.