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Finding the Fourth Proportional to 775.41, 1,069.79 and 460.77

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Solution

The fourth proportional to 775.41, 1,069.79 and 460.77 is: 635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.41 : 1,069.79 = 460.77 : x
  2. Step 2: Convert to fraction form
    775.41/1,069.79 = 460.77/x
  3. Step 3: Cross multiply
    775.41x = 1,069.79 × 460.77
  4. Step 4: Simplify right side
    775.41x = 492,927.14
  5. Step 5: Solve for x
    x = 492,927.14/775.41
  6. Step 6: Final answer
    x = 635.70

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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.