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Finding the Fourth Proportional to 774.61, 1,068.94 and 420.53

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Solution

The fourth proportional to 774.61, 1,068.94 and 420.53 is: 580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.61 : 1,068.94 = 420.53 : x
  2. Step 2: Convert to fraction form
    774.61/1,068.94 = 420.53/x
  3. Step 3: Cross multiply
    774.61x = 1,068.94 × 420.53
  4. Step 4: Simplify right side
    774.61x = 449,517.04
  5. Step 5: Solve for x
    x = 449,517.04/774.61
  6. Step 6: Final answer
    x = 580.32

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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.