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Finding the Fourth Proportional to 774.20, 1,068.20 and 459.45

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Solution

The fourth proportional to 774.20, 1,068.20 and 459.45 is: 633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.20 : 1,068.20 = 459.45 : x
  2. Step 2: Convert to fraction form
    774.20/1,068.20 = 459.45/x
  3. Step 3: Cross multiply
    774.20x = 1,068.20 × 459.45
  4. Step 4: Simplify right side
    774.20x = 490,779.15
  5. Step 5: Solve for x
    x = 490,779.15/774.20
  6. Step 6: Final answer
    x = 633.92

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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.