Home / 1,024.20-1,528.41-817.80

Finding the Fourth Proportional to 1,024.20, 1,528.41 and 817.80

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Solution

The fourth proportional to 1,024.20, 1,528.41 and 817.80 is: 1,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.20 : 1,528.41 = 817.80 : x
  2. Step 2: Convert to fraction form
    1,024.20/1,528.41 = 817.80/x
  3. Step 3: Cross multiply
    1,024.20x = 1,528.41 × 817.80
  4. Step 4: Simplify right side
    1,024.20x = 1,249,933.70
  5. Step 5: Solve for x
    x = 1,249,933.70/1,024.20
  6. Step 6: Final answer
    x = 1,220.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.