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Finding the Fourth Proportional to 810.21, 1,112.71 and 678.99

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Solution

The fourth proportional to 810.21, 1,112.71 and 678.99 is: 932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.21 : 1,112.71 = 678.99 : x
  2. Step 2: Convert to fraction form
    810.21/1,112.71 = 678.99/x
  3. Step 3: Cross multiply
    810.21x = 1,112.71 × 678.99
  4. Step 4: Simplify right side
    810.21x = 755,517.27
  5. Step 5: Solve for x
    x = 755,517.27/810.21
  6. Step 6: Final answer
    x = 932.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.