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Finding the Fourth Proportional to 774.84, 1,069.02 and 464.16

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Solution

The fourth proportional to 774.84, 1,069.02 and 464.16 is: 640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.84 : 1,069.02 = 464.16 : x
  2. Step 2: Convert to fraction form
    774.84/1,069.02 = 464.16/x
  3. Step 3: Cross multiply
    774.84x = 1,069.02 × 464.16
  4. Step 4: Simplify right side
    774.84x = 496,196.32
  5. Step 5: Solve for x
    x = 496,196.32/774.84
  6. Step 6: Final answer
    x = 640.39

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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.