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Finding the Fourth Proportional to 1,284.46, 1,771.85 and 760.39

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Solution

The fourth proportional to 1,284.46, 1,771.85 and 760.39 is: 1,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.46 : 1,771.85 = 760.39 : x
  2. Step 2: Convert to fraction form
    1,284.46/1,771.85 = 760.39/x
  3. Step 3: Cross multiply
    1,284.46x = 1,771.85 × 760.39
  4. Step 4: Simplify right side
    1,284.46x = 1,347,297.02
  5. Step 5: Solve for x
    x = 1,347,297.02/1,284.46
  6. Step 6: Final answer
    x = 1,048.92

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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.