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Finding the Fourth Proportional to 774.74, 1,068.87 and 438.60

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Solution

The fourth proportional to 774.74, 1,068.87 and 438.60 is: 605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.74 : 1,068.87 = 438.60 : x
  2. Step 2: Convert to fraction form
    774.74/1,068.87 = 438.60/x
  3. Step 3: Cross multiply
    774.74x = 1,068.87 × 438.60
  4. Step 4: Simplify right side
    774.74x = 468,798.84
  5. Step 5: Solve for x
    x = 468,798.84/774.74
  6. Step 6: Final answer
    x = 605.10

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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.