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Finding the Fourth Proportional to 774.64, 1,069.01 and 420.56

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Solution

The fourth proportional to 774.64, 1,069.01 and 420.56 is: 580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.64 : 1,069.01 = 420.56 : x
  2. Step 2: Convert to fraction form
    774.64/1,069.01 = 420.56/x
  3. Step 3: Cross multiply
    774.64x = 1,069.01 × 420.56
  4. Step 4: Simplify right side
    774.64x = 449,582.85
  5. Step 5: Solve for x
    x = 449,582.85/774.64
  6. Step 6: Final answer
    x = 580.38

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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.