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Finding the Fourth Proportional to 810.99, 1,120.88 and 780.27

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Solution

The fourth proportional to 810.99, 1,120.88 and 780.27 is: 1,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.99 : 1,120.88 = 780.27 : x
  2. Step 2: Convert to fraction form
    810.99/1,120.88 = 780.27/x
  3. Step 3: Cross multiply
    810.99x = 1,120.88 × 780.27
  4. Step 4: Simplify right side
    810.99x = 874,585.14
  5. Step 5: Solve for x
    x = 874,585.14/810.99
  6. Step 6: Final answer
    x = 1,078.42

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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.