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Finding the Fourth Proportional to 877.42, 1,311.26 and 768.07

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Solution

The fourth proportional to 877.42, 1,311.26 and 768.07 is: 1,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.42 : 1,311.26 = 768.07 : x
  2. Step 2: Convert to fraction form
    877.42/1,311.26 = 768.07/x
  3. Step 3: Cross multiply
    877.42x = 1,311.26 × 768.07
  4. Step 4: Simplify right side
    877.42x = 1,007,139.47
  5. Step 5: Solve for x
    x = 1,007,139.47/877.42
  6. Step 6: Final answer
    x = 1,147.84

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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.