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Finding the Fourth Proportional to 774.77, 1,069.16 and 420.68

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Solution

The fourth proportional to 774.77, 1,069.16 and 420.68 is: 580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.77 : 1,069.16 = 420.68 : x
  2. Step 2: Convert to fraction form
    774.77/1,069.16 = 420.68/x
  3. Step 3: Cross multiply
    774.77x = 1,069.16 × 420.68
  4. Step 4: Simplify right side
    774.77x = 449,768.36
  5. Step 5: Solve for x
    x = 449,768.36/774.77
  6. Step 6: Final answer
    x = 580.52

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Double scale
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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.